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What is the first step to solve the following system of equations using substitution?

[tex]\left\{\begin{array}{l}x-y=-1 \\ 2x-y=3\end{array}\right.[/tex]

A. Multiply the first equation by 2.

B. Add the two equations together.

C. Solve the first equation for [tex]x[/tex].

Sagot :

GinnyAnswer
To solve the given system of equations using the substitution method, the first step is to solve one of the equations for one of the variables. Let's analyze the given system:

[tex]\[ \left\{ \begin{array}{l} x - y = -1 \\ 2x - y = 3 \end{array} \right. \][/tex]

The first equation is:
[tex]\[ x - y = -1 \][/tex]

To solve the first equation for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex]. So, we add [tex]\( y \)[/tex] to both sides of the first equation:

[tex]\[ x = y - 1 \][/tex]

This gives us an expression for [tex]\( x \)[/tex] in terms of [tex]\( y \)[/tex].

Therefore, the first step in solving this system of equations using substitution is:

Solve the first equation for [tex]\( x \)[/tex].
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