Question

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

a.)
7x = -3

b.)
7x = 1

c.)
9x = -3

d.)
9x = 1

Answer 1

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\\ot1\theta 1}}`

Answer 2

C.

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.