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irinina [24]
3 years ago
7

5x+5y+5z=-60 4x+5y+6z=-67 x-y+z=-10. Eliminate

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0
You have to do standard algorithm
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Answer:

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Step-by-step explanation:

We have been given an equation \frac{2}{3}x=-\frac{1}{2}x+5. We are asked to solve our given equation.

First of all, we will add \frac{1}{2}x on both sides of equation to separate x variable on one side of equation.

\frac{2}{3}x+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x+5

\frac{2}{3}x+\frac{1}{2}x=5

Now, we will make a common denominator.

\frac{2*2}{3*2}x+\frac{1*3}{2*3}x=5

\frac{4}{6}x+\frac{3}{6}x=5

Add numerators:

\frac{4+3}{6}x=5

\frac{7}{6}x=5

Upon multiply both sides of our equation by \frac{6}{7}, we will get:

\frac{6}{7}*\frac{7}{6}x=5*\frac{6}{7}

x=\frac{5*6}{7}

x=\frac{30}{7}

Therefore, the solution for our given equation is x=\frac{30}{7}.

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