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pogonyaev
3 years ago
5

Solve system using eliminations 2x+4y=22 2x-2y=-8

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0
2x+4y=22 \\
2x-2y=-8 \ \ \ |\times (-1) \\ \\
2x+4y=22 \\
\underline{-2x+2y=8} \\
2x-2x+4y+2y=22+8 \\
6y=30 \ \ \ |\div 6 \\
y=5 \\ \\
2x-2y=-8 \\
2x-2 \times 5=-8 \\
2x-10=-8 \ \ \ |+10 \\
2x=2 \ \ \ |\div 2 \\
x=1 \\ \\
\boxed{(x,y)=(1,5)}
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