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Zolol [24]
3 years ago
6

What is the value of y in the solution to the system of equations? 1/3x + 1/4y = 1 2x-3y=-30​

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:

<h2>y = 8</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}\dfrac{1}{3}x+\dfrac{1}{4}y=1&\text{multiply both sides by 12}\\2x-3y=-30\end{array}\right\\\left\{\begin{array}{ccc}12\!\!\!\!\!\diagup^4\cdot\dfrac{1}{3\!\!\!\!\diagup_1}x+12\!\!\!\!\!\diagup^3\cdot\dfrac{1}{4\!\!\!\!\diagup_1}y=12\cdot1\\2x-3y=-30\end{array}\right\\\left\{\begin{array}{ccc}4x+3y=12\\2x-3y=-30&\text{multiply both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x+3y=12\\-4x+6y=60\end{array}\right}\qquad\text{add both sides of the equations}

.\qquad9y=72\qquad\text{divide both sides by 9}\\.\qquad y=8

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