Solve this system of equations by substitution:

\[
\begin{align*}
-2x - y &= -9 \\
5x - 2y &= 18
\end{align*}
\]

{ − 2 x − y = − 9 5 x − 2 y = 18 ​ { y = − 2 x + 9 5 x − 2 y = 18 ​ s u b s t i t u t i o n 5 x − 2 ⋅ ( − 2 x + 9 ) = 18 5 x + 4 x − 18 = 18 9 x − 18 + 18 9 x = 36 / : 9 x = 9 36 ​ x = 4 ================= y = − 2 x + 9 y = − 2 ⋅ 4 + 9 = − 8 + 9 = 1 A n s w er : { x = 4 y = 1 ​

Answered by Lilith | 2024-06-10

-2x - y = -9 y = -2x + 9
5x-2(-2x + 9) = 18 5x - (-4x +18) = 18 9x -18 = 18 9x = 36 x=4
-2x - y = -9 -2(4) - y = -9 -8 - y = -9 -y = -1 y = 1 Point of intersection: (4,1)

Answered by themuffintree | 2024-06-10

By substituting y in terms of x from the first equation into the second equation, we found that x = 0 and y = -9. Thus, the solution to the system of equations is x = 0 and y = -9.
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Answered by Lilith | 2025-01-31