Hi there! Your answer is x = -2, y = -9/2
In coordinate point, we can write (-2,-9/2)
Please see the explanation below for a clear understand about the problem.
Any questions about the answer, feel free to ask in comment! :)
Step-by-step explanation:
Goal
Solve the system of equations by substitution method.Given
System of Equations[tex]\begin{cases} x=2y+7 \Longrightarrow (1)\\ 3x-2y=3 \Longrightarrow (2) \end{cases}[/tex]
Step 1
Since our x-term is the subject in the first equation, we can simply substitute x = 2y+7 in the second equation.Substitute x = 2y+7 in the second equation.
[tex]3x-2y=3\\3(2y+7)-2y=3[/tex]
We do this so we can solve for the y-term without any problems. (We need to get rid of a variable if there are more than one variable.)
Then we distribute/expand 3 in the expression.
[tex]6y+21-2y=3\\4y+21=3[/tex]
Step 2
Solve the equation for y-termTo solve the equation, we have to isolate the term that we want. For this scenario, we want to know the value of y-term. Therefore, we isolate y-term.
[tex]4y=3-21\\4y=-18\\y=-\frac{18}{4} \\y=-\frac{9}{2}[/tex]
Finally! we know the value of y which is -9/2. But we are not done yet!
Step 3
Substitute the y-value in any given equations.After we solve the equation, we have to substitute the value in any given equations. No need to substitute the value in both equations! Choose an equation to substitute the value in.
For this, I will be choosing an equation with less coefficients which is the first equation.
[tex]x=2y+7[/tex]
Substitute y = -9/2 in the equation.
[tex]x=2(-\frac{9}{2})+7\\x=-9+7\\x=-2[/tex]
We should get x = -2 as the answer. This is our last step for finding an answer. The next few steps are going to be how to check the answer for system of equations. Note that next few steps are optional. If you are not certain that the answer is wrong or right, it is highly advised to check the answer before jumping to a conclusion!
Optional Steps - Answer Check
To check the answer, we can simply substitute both x-value and y-value in any given equations. You can either choose only a single equation to substitute in ONLY if you are certain/sure that the answer is likely correct. Substituting in both equations are recommended for beginners.
Step 3
Substitute x = -2 and y = -9/2 in the system of equations.Step 3.1
Substitute in x = 2y+7[tex]x=2y+7[/tex]
From x = -2 and y = -9/2
[tex]-2=2(-\frac{9}{2} )+7[/tex]
Cancel 2 out.
[tex]-2=-9+7\\-2=-2[/tex]
As you can see, both sides are equal. That means the equation is true for x = -2 and y = -9/2.
Step 3.2
Substitute in 3x-2y = 3[tex]3x-2y=3[/tex]
Substitute x = -2 and y = -9/2 in the equation.
[tex]3(-2)-2(-\frac{9}{2})=3\\-6+\frac{18}{2}=3\\-6+9=3\\3=3[/tex]
Since both equations are true for x = -2 and y = -9/4. We can conclude that:
[tex]\huge\sf{x = -2 \ and \ y = -\frac{9}{2} \ are \ the \ solutions \ to \ the \ system \ of \ equations.}[/tex]
Hence, the answer is x = -2 and y = -9/2.
Admission to State Fair is $10 for adults and $7 for children under 14 how much is it cost ivans family to attended if there are three adults and four children
−8x−3y=46
−8x+9y=22
pls help and show your work
Answer:
Step-by-step explanation:
5kg of Compost costs £7.50. Find the cost of 10kg of compost
Answer:
15
Step-by-step explanation:
5kg= £7.50
10kg= £7.50(2)
£7.50 times 2 equals 15
£15
HELP PLEASE-
I would really appreciate it
Answer:
61.25
Step-by-step explanation:
7x 3.5 x 1/2= triangle
12.25 x 4 =49
3.5 x 3.5 = 12.25
12.25+49 = 61.25
More math help, please
Answer:
15) Quadratic Function : The 3x is squared
16) Linear Function : It is a straight line
17) Quadratic Function : The line is a U shape
18) Linear Function : There is one y value for every x value, and the points form a straight line
Step-by-step explanation:
Done
BRAINLIEST IF YOU GIVE ME CORRECT ANSWER
Answer:
The 1st answer.
Step-by-step explanation:
1. Find the quotient to 1/3 ÷ 3/4
Your quotient should be 4/9
2. Solve all of the expressions
1st answer choice product: 4/9
2nd answer choice product: 4
3rd answer choice product: 2 1/4
4th answer choice product: 1/4
3. The only answer that was equivalent to 1/3 ÷ 3/4 was answer choice 1 therefore the first answer choice was the correct answer choice.
Plz help
What's 1000+20+30+1000+1030+1000+20=?
Answer:
4,100
Step-by-step explanation:
1000+1000+1000+1030=4030
20+20+30=70
4030+70=4100
Answer:
Well add them up and you get 4100
Brainiest answer to whoever is correct
Answer:
89
Step-by-step explanation:
hope this helps!
please mark me as brainliest! thanks!
HELP HELP HELP AND ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
(1/2)(12 ÷ 3) + 3/5 = (1/2)4 + 3/5 = 2 + 3/5 = 10/5 + 3/5 = 13/5
I need help ASAP please
Answer:
b=13/12
Step-by-step explanation:
Good luck :)
Use multiplication to find 5% of 180 what’s the anwser
Answer:
9
Step-by-step explanation:
180 x 0.05
HELP ASAP Will give brainliest!!
Answer:
9
Step-by-step explanation:
Both sides are going to be exactly the same angle. So if its 35° on the right it will be 35° on the left also.
[tex](3x + 8)[/tex]
[tex](3 \times 9 + 8)[/tex]
9 goes into where X was
[tex]3 \times 9 = 27[/tex]
[tex]27 + 8 = 35[/tex]
[tex](3 \times 9 + 8 ) = 35[/tex]
On a map, Norristown is 18 miles south of Lincoln, and Lincoln is 29 miles west of Allenport. Find the distance from Norristown to Allenport
Answer:34.1
Step-by-step explanation:
A net triangular prism is shown.What is the total surface area
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
1. false
2. true
3. true
4. false
the first one is false- the second one is false the third one is false and the last one is true
PLEASE HELP I HAVE 3 MINUTES TO TURN THISS IN HELPPPP!!!!! You bought 10 Frisbees for $11.90. What was the cost per Frisbee?
Answer:
each frisbee costs $1.19
Answer:
It should be $1.19 I hope this helps
Step-by-step explanation:
Deb is planning to paint a wall of her house that has two regular hexagonal windows. Painting the wall costs $1.75 per square foot. How much will she have to spend to paint the wall? Round the answer to the nearest dollar.
Answer: $357
Step-by-step explanation: Please see images below!
The amount she have to spend to paint the wall is $357.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
The side of two hexagon is 2ft, painting measures 9*25ft.
Now,
In this case, s = 2 feet. Therefore, the area of one hexagonal window is:
Area = (3√3 × 2²)/2 Area = (12√3)/2 Area ≈ 10.39 square feet
Since there are two windows, we need to multiply this by 2 and subtract it from the total area of the wall:
225 - (2 × 10.39) ≈ 204.22 square feet
This is the area that needs to be painted. To find how much Deb will have to spend, we multiply this by $1.75 per square foot:
204.22 × $1.75 ≈ $357.39
Rounding this to the nearest dollar, we get:
$357
Therefore, by the area of painting the answer will be $357.
Learn more about area of a composite figure here:
https://brainly.com/question/10254615
#SPJ2
Someone who is actually smart can you help me on this please it’s an emergency❤️
Answer:
i haven't studied this subject but i think the answer would be corresponding angles
Step-by-step explanation:
if this answer seems very wrong don't take it
Which term has the definition the top number in a fraction
Answer: numerator
Step-by-step explanation:
one-third of a number, n, minus 7
ALGEBRAIC EXPRESSION
ASAP ASAP ASAP
Answer:
[tex] \frac{n}{3} - 7[/tex]
Step-by-step explanation:
The comma is important here, otherwise "one third of a number n minus 7" is
[tex] \frac{n - 7}{3} [/tex]
The algebraic expression represents “one-third of a number, n, minus 7
” could be; 1/3n - 7.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like , subtraction, addition, multiplication, and division.
The Numbers constants, variables, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols.
We are given that “one-third of a number, n, minus 7”
Therefore, the number n and 7 then it can be written as
1/3n - 7
The algebraic expression represents the statement is 1/3n - 7.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ6
A shirt originally cost $38.48, but it is on sale for $26.94. What is the percentage decrease of the price of the shirt? If necessary
round to the nearest percent.
A. 70%
B. 24%
C. 43%
D. 30%
Answer:
30(D)
Step-by-step explanation:
38.48-26.94=11.54
11.54÷38.48×100
≈30
Maria baked x cookies. She distributed the
cookies equally among her 6 neighbors.
Each neighbor received 18 cookies. Which
equation matches this situation?
Answer: She baked 108 cookies!
Step-by-step explanation: I did : (6x8) and it gave me (108) and too check my answer i did (108 divided my 6) it gave me 18.
Which symbol correctly compares the mixed numbers?
Answer:
a is the answer
Step-by-step explanation:
there not equal
Please help !!!!! I need to pass
Answer:
1/10
Step-by-step explanation:
I think
What is the square root of 16
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
what is an improper fraction
ten pts.
Answer:
a fraction in which the numerator is greater than the denominator, such as 5/4.
Step-by-step explanation:
Jasper and Corey have saved up a total of $78.00. Jasper has saved 6 dollars more than twice as much as Corey. How much has Corey saved?
please help me
Answer:
24 is the answer..for this concept
Answer: 24
Step-by-step explanation:
can someone explain how you get the answer for :
6a-2(a-4)
Answer:
4a+8
Step-by-step explanation:
expand the bracket
6a-2a+8
4a+8
you can leave the answer like that depending on the question
or you can factorise the answer
4(a+2)
depending on what the question is because yours isn't very clear
6)
Find the 10th term of
the sequence 7n - 3
Question 6
Answer:
67
Step-by-step explanation:
t10 = 7(10) -3 = 70-3 = 67
If Domenica makes this banner, what will be the total area of the finished product? Show your work