QuestionJuly 27, 2025

Drag each tile to the correct box. Not all tiles will be used. Arrange the steps to solve this system of linear equations in the correct sequence. x+y=-2 2x-3y=-9

Drag each tile to the correct box. Not all tiles will be used. Arrange the steps to solve this system of linear equations in the correct sequence. x+y=-2 2x-3y=-9
Drag each tile to the correct box. Not all tiles will be used.
Arrange the steps to solve this system of linear equations in the correct sequence.
x+y=-2
2x-3y=-9

Solution
4.6(276 votes)

Answer

x = -3, y = 1 Explanation 1. Solve for one variable in the first equation From x + y = -2, express y as y = -2 - x. 2. Substitute into the second equation Replace y in 2x - 3y = -9 with -2 - x: 2x - 3(-2 - x) = -9. 3. Simplify and solve for x Simplify to get 2x + 6 + 3x = -9. Combine like terms: 5x + 6 = -9. Solve for x: 5x = -15 \Rightarrow x = -3. 4. Substitute back to find y Substitute x = -3 into y = -2 - x: y = -2 - (-3) = 1.

Explanation

1. Solve for one variable in the first equation<br /> From $x + y = -2$, express $y$ as $y = -2 - x$.<br />2. Substitute into the second equation<br /> Replace $y$ in $2x - 3y = -9$ with $-2 - x$: $2x - 3(-2 - x) = -9$.<br />3. Simplify and solve for $x$<br /> Simplify to get $2x + 6 + 3x = -9$. Combine like terms: $5x + 6 = -9$. Solve for $x$: $5x = -15 \Rightarrow x = -3$.<br />4. Substitute back to find $y$<br /> Substitute $x = -3$ into $y = -2 - x$: $y = -2 - (-3) = 1$.
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