Question

Substituting the equation y = 4x + 1 into the equation 2y = -x – 1 will produce the equation ________.

Answer 1

Answer:

C.

Step-by-step explanation:

This is substitution method in solving simulteanous equations.

given y = 4x + 1

we will substitute y into 2y = -x-1

$2(4x + 1) = - x - 1 \\ 8x + 2 = - x - 1 \\ 8x + x + 2 = - 1 \\ 9x + 2 = - 1 \\ 9x = - 1 - 2 \\ 9x = - 3$

Therefore the answer is C.

Answer 2

SOLVING

$\Large\maltese\underline{\textsf{A. What is Asked}}$

Substituting the equation given into another equation will produce another equation. But which one?

$\Large\maltese\underline{\textsf{B. This problem has been solved!}}$

$\bf{2y=-x-1}$ | substitute the required equation

$\bf{2(4x+1)=-x-1}$ | solve in terms of x

$\bf{8x+2=-x-1}$ | carry on solving

$\bf{9x+2=-1}$ | carry on solving

$\bf{9x=-3$

$\cline{1-2}$

$\bf{Result:}$

                 $\bf{=The\;third\;option}$

$\LARGE\boxed{\bf{aesthetics\not1\theta 1}}$