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3 years ago

11

Solve the system of linear equations using the elimination method x=3y;3x-2y=14

1 answer:

vladimir1956 [14]3 years ago

7 0

Answer:

<h2>x = 6 and y = 2 → (6, 2)</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}x=3y&\text{subtract}\ 3y\ \text{from both sides}\\3x-2y=14\end{array}\right\\\\\left\{\begin{array}{ccc}x-3y=0&\text{multiply both sides by (-3)}\\3x-2y=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-3x+9y=0\\3x-2y=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad7y=14\qquad\text{divide both sides by 7}\\.\qquad\qquad y=2\\\\\text{put the value of y to the first equation:}\\x=3(2)=6$

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