need answer ;w; In the equation -8x+ 1/4(20x - 12) = qx - 13x - 3, what value of q makes the equation
have infinitely many solutions?
A
-10
B 0 C 3 D 10

Answer:

i think it is B

Step-by-step explanation:

If 10x = qx for all values of x, then q must be equal to 10. so, the answer is (D)

Two or more expressions with an Equal sign is called as Equation.

To have infinitely many solutions, both sides of the equation should be equal regardless of the value of x.

This means that the left side of the equation should simplify to a constant, and the right side of the equation should also simplify to the same constant.

Starting with the left side of the equation:

-8x + 1/4(20x - 12) = qx - 13x - 3

-8x + 5x - 3 = qx - 13x - 3 (distributing 1/4 to (20x - 12))

-3x - 3 = qx - 13x - 3 (combining like terms)

-3x = qx - 13x (subtracting 3 from both sides)

Now, let's simplify the right side of the equation:

-3x = qx - 13x

-3x + 13x = qx (adding 13x to both sides)

10x = qx

Hence, If 10x = qx for all values of x, then q must be equal to 10. so, the answer is (D)

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