solve the system by elimination. show steps so i can write down please i will mark brainliest thank you!! :)
Answers
Answer:
(-2,5), refer to the step-by-step. Feel free to comment any questions you may have!
Step-by-step explanation:
Given the system of equation, [tex]\left \{ {{x+6y=28} \atop {2x-3y=-19}} \right.[/tex], solve by elimination.
[tex]\left \{ {{-2(x+6y=28)} \atop {2x-3y=-19}} \right.[/tex] , multiply the top equation by -2.
We get, [tex]\left \{ {{-2x-12y=-56} \atop {2x-3y=-19}} \right.[/tex]
[tex]+ {{-2x-12y=-56} \atop {2x-3y=-19}} \right.[/tex], add the equations together.
We get, [tex]-15y=75[/tex], we just eliminated the variable, x, we can now solve this equation for y.
[tex]-15y=-75 = > y=\frac{-75}{-15}[/tex], [tex]y=\frac{75}{15} = > y=5[/tex]
We just found the value y, which is y=5. Now we can take this value and plug it into y for either of the two original equations and solve for x. I will take the top equation...
[tex]x+6y=28 = > x+6(5)=28 = > x+30=28[/tex], subtract the value, 30, from both sides. We get, [tex]x=-2[/tex].
We found the value x, x=-2.
Thus the solution to the given system of equations is (-2,5).
Answer:
(-2, 5)
Step-by-step explanation:
Given linear system of equations:
[tex]\begin{cases}x+6y=28\\2x-3y=-19\end{cases}[/tex]
To solve by the method of elimination, first multiply the first equation by -2:
[tex]\implies -2 (x+6y=28)[/tex]
[tex]\implies -2x-12y=-56[/tex]
Add this to the second equation to eliminate the term in x:
[tex]\begin{array}{lrcrcr}& 2x & - & 3y & = & -19\\+\vphantom{\dfrac12}&(-2x & - & 12y & = & -56\\\cline{2-6}&\vphantom{\dfrac12}&- & 15y & = &-75\end{array}[/tex]
Solve the expression for y:
[tex]\implies -15y=-75[/tex]
[tex]\implies y=5[/tex]
Substitute the found value of y into the expression for x and solve for x:
[tex]\implies x=28-6(5)[/tex]
[tex]\implies x=28-30[/tex]
[tex]\implies x=-2[/tex]
Check by substituting the found values of x and y into both equations.
Equation 1
[tex]\implies -2+6(5)=-2+30=28[/tex]
Equation 2
[tex]\implies 2(-2)-3(5)=-4-15=-19[/tex]
Hence proving that the solution (-2, 5) is true.
Related Questions
please help will get brilent
Coach Soto bought a house at $350,000 that increases in value at a rate of 12%. Coach Torres bought a house at $275,000 and increased at a rate of 17%. Both coaches sold their house after 5 years, who made a higher profit?
Answers
Answer:
coach soto
Step-by-step explanation:
first figure out the profit, 350000 times 12% to get 42000. then multily 42000 by 5 wich is 210000 then add that to 350000 wich is 560000. then 275000 times 17% which is 46750 times 5, 233750 add that to 275000 which is 508750. so coach soto had a greater profit
Can someone help me :( 6th grade tbanks
Answers
What is the difference between 28%and 18%of 4900
Answers
Answer:
Step-by-step explanation:
How do you know how to set up a equation?
Answers
Answer:
Basic Steps to Setting Up Equations
-Determine what the question is asking.
-Write down the relevant information in simple statements.
-Assign symbols to unknown values that need to be found.
-Determine how the statements relate to each other mathematically.
Solving Story Problems
Story problems can contain lots of information, including details that are not necessary to solve the problem. Additionally, the problem may assume general knowledge on the reader's part, and not explain all the information explicitly. Writing that information down in a streamlined form is an efficient way to solve problems.
Step-by-step explanation:
What should be done first to evaluate the expression?
8 × 4 ÷ 3 + 52 - 8
Divide 4 by 3
Square 5
Add 3 and 5
Multiply 8 and 4
Answers
Answer:
From PEMDAS
P-- Parethesis
E--- Exponents
M--- Multiplication
D--- Division
A--- Addition
S---- Subtraction
Exponent should be done before the other operations.
so
5² =25
Answer:
Square 5.
Step-by-step explanation:
[tex]8*4/3+5^2-8[/tex]
Step 1: Define.
Whenever you solve problems with multiple operations, remember this:
PEMDAS:
Parenthesis
Exponential equations (exponents)
Multiplication/division
Addition/subtraction
PEMDAS is the order in which you should solve multiple operational equations.
Step 2: Conclude.
Therefore, the first step in order to evaluate this expression is square 5. (Any number to the 2nd power is called 'squared.')
Write an
inequality in which one of the solutions is the same as the
solution to x - 23 = 191.
Answers
Answer: x-100 < 115
Step-by-step explanation: X is less then 215
Find the product. Enter your answer in the box below as a fraction, using the
slash mark (/) for the fraction bar. 4/3*5/3
Answers
The solution to the product expression 4/3 * 5/3 is 20/9
How to evaluate the product expression?From the question, we have the following parameters that can be used in our computation:
The product 4/3*5/3
To start with, we need to represent the statement as an expression
So, we have the following representation
4/3 * 5/3
Using a calculator, we multiply the numerator
So, we have the following representation
4/3 * 5/3 = 20/3 * 1/3
Using a calculator, we multiply the denominator
So, we have the following representation
4/3 * 5/3 = 20/9
Hence, the solution is 20/9
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Express the polynomial as a product of linear factors.
f(x) = 2x3+ 4x2 – 2x - 4
Answers
Answer:
A. 2(x+2)(x+1)(x-1)
Step-by-step explanation:
^polynomial as a product of linear functions
Which linear inequality is represented by the graph?
Answers
Answer:
you mama
Step-by-step explanation:
you gay
Which I believe would be B.
please help me with this
Answers
Answer: 630
Step-by-step explanation:
Evaluate 9du when d=10 and u=7
⇒9du
input the values of d and u
⇒9 (10)(7)
⇒9 × 10 × 7
⇒630 answer.
hope that helps...
Answer:
630
Step-by-step explanation:
as the problem shows that the variable for d = 10, and u = 7.
it asked to solve 9du (or 9 × d × u )
we can plug in the numbers into the variables:
9 × 10 × 7
9 × 10 = 90 × 7 = 630
Need help
Kinda forget everything
Answers
Answer:
Option E
Step-by-step explanation:
GIVEN :-
β ≠ 3γTO FIND :-
Value of xSOLTION :-
[tex]x - \frac{\beta x}{3\gamma} = \alpha[/tex]
Take 'x' common from L.H.S.
⇒ [tex]x ( 1 - \frac{\beta}{3\gamma} ) = \alpha[/tex]
Substract the terms in the brackets
⇒ [tex]x (\frac{3\gamma - \beta }{3\gamma} ) = \alpha[/tex]
Now , take the whole term in brackets to R.H.S.
⇒ [tex]x = \frac{\alpha }{\frac{3\gamma - \beta }{3\gamma} } = \alpha(\frac{3\gamma}{3\gamma - \beta}) = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex]
CONCLUSION :-
∴ [tex]x = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex] (Option E)
ANSWER FAST
NO LINKS
q>d, if d=3
Answers
Answer:
q = 4 or above
Step-by-step explanation:
"4 or above" means 4, 5, 6, 7.... so on. ">" means greater than, meaning any number that is on the bigger side of the symbol is greater/more than the number on the other side. Example:
q > d
4 > 3
5 > 3
Can please answer me please faster if know what the answer please?!!!!
Answers
Answer:
7%
Step-by-step explanation:
Add up all of the hot drinks that were ordered:
5 + 48 + 22 = 75
So 75 total hot drinks were ordered.
Of those, only 5 were small. So 5/75 were small drinks.
Then find that as a percentage.
5/75 = x/100
To get to 100, 75 is multiplied by 4/3. So multiply 5 by the same number and you get 6.66666667, which rounds 7% and that is your answer,
4) Edgar builds a sand castle with a rectangular base. The side lengths of the base are 25 in, and 16 in. He wants
to surround the castle's base with a moat that is w inches wide. Write a quadratic function, A, in standard form to
represent the combined area taken up by the castle and the moat.
16in.
25 in.
Answers
Answer:
4w² + 82w + 400
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients involving addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A quadratic function is a polynomial of degree 2. The standard form of a quadratic equation is:
ax² + bx + c
The moat has width of w inch. Therefore:
combined width of castle and moat = 16 in + w in + w in = 16 + 2w in
combined length of castle and moat = 25 in + w in + w in = 25 + 2w in
The combined area = length * width = (16 + 2w)(25 + 2w) = 400 + 32w + 50w + 4w² = 4w² + 82w + 400
Answer:
A(w) = 4 w^2 + 82 w + 400
Step-by-step explanation:
Person above me is correct. :)
if α and β are the zero of polynomial p(x) = 3x^2 +2x + 1, find the polynomial whose zeroes are 1-α /1+α and 1-β/1+β.
Answers
Therefore , the solution of the given problem of function comes out to be 2.
Function DefinitionA function connects various inputs together or produces a single output from each input. Simply explained, a function is a collection of equations that are linked to a single, identifiable output. A statement, rule, or law which explains the connection between two variables is known as a function in mathematics (the dependent variable). When a rule of this type is applied, there is just one output. by photographer Alex Federspiel.
Here,
=> (1−α)(1−β)(1+α)(1+β)
=>(1−α−β+αβ) /(1+α+β=αβ)
=> (1−(α+β)+αβ ) / ( 1+(α+β)+αβ)
=>(1 + 2/3 + 1/3 )/ (1 -2/3 + 1/3)
=> 2 x 3 /2 =3
=> (1−α)(1+β)+(1−β)(1+α) / (1+α+β+αβ)
=> 3(2−2αβ)/2
=>3(1−αβ)
=>3(1− 1/3 )
=>2
Therefore , the solution of the given problem of function comes out to be 2.
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Alana and Petra go to a used book sale , where every book is the same price. Alana buys 4 books and Petra buys 2 books. They run into their friend angus, who really loves to read, and discover that he has bought 16 books. Angus received a $15 discount, but he still spent $5 more than Alana and Petra combined. How much does one book cost?
Answers
Answer:
$2
Step-by-step explanation:
his mapping shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (2, 4), (negative 3, 0), (negative 1, negative 1), (4, 3). When f(x)=4, what is the value of x? 0 2 3 4
Answers
when f(x)=4, then the value of x is 2
What is a function?A relation is a function if it has only One y-value for each x-value.
Given that A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs:
The ordered pairs are (2, 4), (-3, 0), (- 1, -1), (4, 3)
We need to find value of x when f(x)=4
In the (x, y) ordered pair the x place represents the domain value and y place represents the range.
In the order pairs we have to look for the y value which has 4.
The corresponding element of 4 is the x value
So the value of x is 2 if f(x)=4
Hence, when f(x)=4, then the value of x is 2
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2. Avea checked out 18 books
from the library. Half of them
are nonfiction. How many
nonfiction books did she check
out?
Answers
18 Total books
Half of 18 is 9
(18 divided by 2)
So Avea checked out 9 nonfiction books
Answer: she checked out 9 nonfiction books
Step-by-step explanation:
18-9=9
• Jason runs 8 miles in an hour and bikes 12 miles in an hour.
. This week, he runs a total of 3 hours and bikes a total of 6 hours.
Answers
He also bikes a total of 126 = <<126=72>>72 miles this week.
In total, Jason runs and bikes a total of 24+72 = <<24+72=96>>96 miles this week.
Only answer if you’re sure :) thank you
Answers
Hope this helps!
Answer:
[tex] \frac{1}{-2} [/tex]
8.326 rounded to the nearest tenth
Answers
Answer:
8.3
Step-by-step explanation:
The number after three is below 5 so it stays as 8.3
Shawna needs to buy some pencils and an eraser. She can spend no more than $8. The eraser costs $1 and the pencils cost $0.25 each. Write an inequality to to find x, the number of pencils Shawna buys.
A) .25x + 1 ≤ 8
B) .25x + 1 < 8
C) .25x + 1 ≥ 8
D) .25x + 1 > 8
Answers
Laura, Tom and Alex share £95 in the ratio 8:7:4 find how much money each of them will receive
Answers
Answer:
Laura: £40Tom: £35Alex: £20Step-by-step explanation:
You want the amount of money each receives if Laura, Tom, and Alex share £95 in the ratio 8:7:4.
Ratio unitsThe total number of ratio units is 8+7+4 = 19, corresponding to a total amount of £95. That makes each ratio unit represent £95/19 = £5.
Multiplying the ratio units by £5, we find the distribution to be ...
Laura : Tom : Alex = £40 : £35 : £20
Answer:
Money received by Laura = 8x = 8x5 = £40
Money received by Tom = 7x = 7x5 = £35
Money received by Alex = 4x = 4x5 = £20
Step-by-step explanation:
Given ,
Laura, Tom and Alex share £95 in the ratio 8:7:4To Find : How much money will each of them receive
Let us take the variable as 'x' to find the money received by them
When we convert it to a equation
8x+7x+4x = 95
19x = 95
x = [tex]\frac{95}{19}[/tex]
x = 5
Money received by Laura = 8x = 8x5 = £40
Money received by Tom = 7x = 7x5 = £35
Money received by Alex = 4x = 4x5 = £20
Hence, the money received by each of them is £40, £35 and £20
What is 4 5/7 + 4 1/4
Answers
Answer:
8 27/28 or 251/28
Step-by-step explanation:
Find common denominators then simply add.
Fill in the blank. In the triangle below, y=__________. Round your answer to two
decimal places.
ZD
y
Answer here
42°
35
Answers
Tara will draw a scale model of the garden she wants to plant. Her scale will be 1 cm=2.5 ft. What will be the actual dimensions of Tara's garden?
Answers
Answer:
parangaricutirimicuaro
What is 2/3 written as a decimal
Answers
Answer:
2.3
Step-by-step explanation:
Answer:
66.66 repeating, or 66.7
Step-by-step explanation:
3rds only go to 99 if your looking for fractions, and to get from 3-99, you would multiply the fraction times 33.3 repeating. to keep the fraction even, you would also multiply the numerator (top number) by 33.3 repeating, getting 66.66 repeating
For the simple harmonic motion equation d=2 sin(pi/3 t), what is the frequency? If necessary, use the slash (/) to denote a fraction.
Answers
Answer:
The frequency is f = 1/T = 1/2 Hz.
Step-by-step explanation:
The frequency of a simple harmonic motion equation can be found by taking the inverse of the period. The period of a simple harmonic motion equation is the time it takes for the motion to repeat itself. In the equation d=2 sin(pi/3 t), the period is T = 2*(pi/3)/(pi/3) = 2 seconds. Therefore, the frequency is f = 1/T = 1/2 Hz.
Answer:1/6
Step-by-step explanation:
Write an equivalent expression.
Answers
Answer:
6x-7
Step-by-step explanation:
4x+2x-7
6x-7
Classify the solid.
PLS HELPP
Answers
It is a prism with 2 bases of shape trapezoid