Answer :
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
[tex]2(4x + 1) = - x - 1 \\ 8x + 2 = - x - 1 \\ 8x + x + 2 = - 1 \\ 9x + 2 = - 1 \\ 9x = - 1 - 2 \\ 9x = - 3[/tex]
Therefore the answer is C.
SOLVING
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Substituting the equation given into another equation will produce another equation. But which one?
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
[tex]\bf{2y=-x-1}[/tex] | substitute the required equation
[tex]\bf{2(4x+1)=-x-1}[/tex] | solve in terms of x
[tex]\bf{8x+2=-x-1}[/tex] | carry on solving
[tex]\bf{9x+2=-1}[/tex] | carry on solving
[tex]\bf{9x=-3[/tex]
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=The\;third\;option}[/tex]
[tex]\LARGE\boxed{\bf{aesthetics\not1\theta 1}}[/tex]