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$X+2y=-1$ $x+y=2$

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Solve equations: mixed review

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Q.

X+2y=-1

x+y=2

Label Equations: First, let's label the equations for reference. $\newline$ Equation $1$ : $X + 2Y = -1$ $\newline$ Equation $2$ : $X + Y = 2$
Subtract to Eliminate X: Now, subtract Equation $2$ from Equation $1$ to eliminate X. $\newline$ $(X + 2Y) - (X + Y) = -1 - 2$
Simplify Subtraction: Simplify the subtraction. $X + 2Y - X - Y = -1 - 2$ $Y = -3$
Find Y Value: Plug the value of $Y$ into Equation $2$ to find $X$ . $\newline$ $X + (-3) = 2$ $\newline$ $X - 3 = 2$
Solve for X: Add $3$ to both sides to solve for X. $\newline$ $X - 3 + 3 = 2 + 3$ $\newline$ $X = 5$

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