What is the result of adding these two equations? {:[-5x-9y=3],[5x-9y=-2]:}

Identify operation to combine: Identify the operation to combine the equations. Since the coefficients of 'x' in both equations are opposite, we can add the equations to eliminate 'x'.Add equations to eliminate 'x': Add the equations to eliminate 'x'. (-5x - 9y) + (5x - 9y) = 3 + (-2) -5x + 5x - 9y - 9y = 3 - 2 The x terms cancel each other out, and we are left with -18y = 1.Simplify the equation: There is a mistake in the previous step. The correct calculation should be -5x + 5x - 9y - 9y = 3 - 2, which simplifies to -18y = 1. However, the correct simplification is -18y = 1.

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What is the result of adding these two equations?

{:[-5x-9y=3],[5x-9y=-2]:}

What is the result of adding these two equations? $\newline$ $\begin{aligned} -5 x-9 y & =3 \\ 5 x-9 y & =-2 \end{aligned}$

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Algebra 2

Solve a system of equations using elimination

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Q. What is the result of adding these two equations?

\newline

\begin{aligned} -5 x-9 y & =3 \\ 5 x-9 y & =-2 \end{aligned}

Identify operation to combine: Identify the operation to combine the equations. Since the coefficients of 'x' in both equations are opposite, we can add the equations to eliminate 'x'.
Add equations to eliminate 'x': Add the equations to eliminate 'x'. $(-5x - 9y) + (5x - 9y) = 3 + (-2)$ $\newline$ $-5x + 5x - 9y - 9y = 3 - 2$ $\newline$ The x terms cancel each other out, and we are left with $-18y = 1$ .
Simplify the equation: There is a mistake in the previous step. The correct calculation should be $-5x + 5x - 9y - 9y = 3 - 2$ , which simplifies to $-18y = 1$ . However, the correct simplification is $-18y = 1$ .