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4x+8y+2=7x+7y-8

11x+15y-6=180

 Oct 3, 2017
edited by Guest  Oct 3, 2017
 #1
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Solve the following system:
{2 + 4 x + 8 y = -8 + 7 x + 7 y | (equation 1)
-6 + 11 x + 15 y = 180 | (equation 2)

Express the system in standard form:
{-(3 x) + y = -10 | (equation 1)
11 x + 15 y = 186 | (equation 2)

Swap equation 1 with equation 2:
{11 x + 15 y = 186 | (equation 1)
-(3 x) + y = -10 | (equation 2)

Add 3/11 × (equation 1) to equation 2:
{11 x + 15 y = 186 | (equation 1)
0 x+(56 y)/11 = 448/11 | (equation 2)

Multiply equation 2 by 11/56:
{11 x + 15 y = 186 | (equation 1)
0 x+y = 8 | (equation 2)

Subtract 15 × (equation 2) from equation 1:
{11 x+0 y = 66 | (equation 1)
0 x+y = 8 | (equation 2)

Divide equation 1 by 11:
{x+0 y = 6 | (equation 1)
0 x+y = 8 | (equation 2)

x = 6                             and                           y = 8

 Oct 3, 2017

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