Question

Solve{(x,+,2y,=,9),(y,=,-2x):}

Systems of equations
ANSWERED
asked 2021-01-31

Solve \(\displaystyle{\left\lbrace\begin{matrix}{x}&+&{2}{y}&=&{9}\\{y}&=&-{2}{x}\end{matrix}\right.}\)

Answers (1)

2021-02-01

Substitute equation (1) into equation (2) and solve for x.

\(x + 2(-2x) = 9 x - 4x = 9 -3x = 9 x = -3\)

Substitute \(x = -3\) into equation (2) and solve for y.

\(y = -2 \times (-3) y = 6\)

Thus, the solution is (-3, 6).

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