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What will the first step look like for the substitution problem:

[tex]\[
\begin{array}{l}
y = 2x \\
x + y = 9
\end{array}
\][/tex]

A. [tex]\(2y + y = 9\)[/tex]
B. [tex]\(y + 2x + x + y = 9\)[/tex]
C. [tex]\(y = 2x + 9\)[/tex]
D. [tex]\(x + 2x = 9\)[/tex]

Sagot :

GinnyAnsweridn
To solve the equations:
[tex]\[ \begin{array}{l} y = 2x \\ x + y = 9 \end{array} \][/tex]

we can use the substitution method. Here’s how you do it step-by-step:

1. From the first equation, we already have [tex]\( y \)[/tex] expressed in terms of [tex]\( x \)[/tex]:
[tex]\[ y = 2x \][/tex]

2. Next, we substitute [tex]\( y \)[/tex] into the second equation [tex]\( x + y = 9 \)[/tex]. This means replacing [tex]\( y \)[/tex] with [tex]\( 2x \)[/tex] in the second equation:
[tex]\[ x + 2x = 9 \][/tex]

So, the first step of substitution looks like this:

[tex]\[ x + 2x = 9 \][/tex]

Therefore, the correct option corresponding to this substitution step is:

d. [tex]\( x + 2x = 9 \)[/tex]
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