Multiply 3 x + 2 y = - 34 by 5
15 x + 10 y = - 170
Multiply 5 x -3 y = -13 by 3
15 x - 9 y = - 39
Subtract the equations:
15 x + 10 y = - 170
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15 x - 9 y = - 39
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15 x - 15 x + 10 y - ( - 9 y ) = - 170 - ( - 39 )
10 y + 9 y = - 170 + 39
19 y = - 131
y = - 131 / 19
Put this value in equation 3 x + 2 y = - 34
3 x + 2 ∙ ( - 131 / 19 ) = - 34
3 x - 262 / 19 = - 34
Add 262 / 19 to both sides
3 x = - 34 + 262 / 19
3 x = - 646 / 19 + 262 / 19
3 x = - 384 / 19
3 x = - 3 ∙ 128 / 19
Divide both sides by 3
x = - 128 / 19
Elimination Method
L1: 3x+2y-34
L2: 5x-3y= -13
1 answer