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never [62]
3 years ago
8

The solution to the system of equation below is (−2, −1).

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0

Answer:

<h2>x = -2, y = -1 → (-2, -1)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}2x-3y=-1&\text{multiply both sides by (-3)}\\11x-9y=-13\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-6x+9y=3\\11x-9y=-13\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad5x=-10\qquad\text{divide both sides by 5}\\.\qquad x=-2\\\\\text{put the value of x to the first equation:}\\\\2(-2)-3y=-1\\-4-3y=-1\qquad\text{add 4 to both sides}\\-3y=3\qquad\text{divide both sides by (-3)}\\y=-1

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Step-by-step explanation:

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