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ale4655 [162]
3 years ago
15

Solve the following system of equations. 2x-3y=8 -2x+6y=-20

Mathematics
1 answer:
wolverine [178]3 years ago
3 0
Solve the following system:
{2 x - 3 y = 8 | (equation 1)
{6 y - 2 x = -20 | (equation 2)

Add equation 1 to equation 2:
{2 x - 3 y = 8 | (equation 1)
{0 x+3 y = -12 | (equation 2)

Divide equation 2 by 3:
{2 x - 3 y = 8 | (equation 1)
{0 x+y = -4 | (equation 2)


Add 3 × (equation 2) to equation 1:
{2 x+0 y = -4 | (equation 1)
{0 x+y = -4 | (equation 2)

Divide equation 1 by 2:
{x+0 y = -2 | (equation 1)
{0 x+y = -4 | (equation 2)

Collect results:
Answer:  {x = -2
                {y = -4
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