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2 votes
X=2y+7 and 3x-2y=3 pls help me

User Ludwo
by
4.6k points

1 Answer

3 votes

Answer:


\large\boxed{x=-2\ and\ y=-4.5}

Explanation:


\left\{\begin{array}{ccc}x=2y+7&(1)\\3x-2y=3&(2)\end{array}\right\\\\\\\text{Substitute (1) to (2):}\\\\3(2y+7)-2y=3\qquad\text{use distributive property}\\(3)(2y)+(3)(7)-2y=3\\6y+21-2y=3\qquad\text{subtract 21 from both sides}\\6y-2y=-18\\4y=-18\qquad\text{divide both sides by 4}\\\boxed{y=-4.5}\\\\\text{substitute the value of}\ y\ \text{to (1):}\\\\x=2(-4.5)+7\\x=-9+7\\\boxed{x=-2}

User Chris Panayotova
by
5.4k points
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