How do you solve the following system: 6x+2y=-4, 3x - 4y = -106x+2y=−4,3x−4y=−10?

1 Answer
ali ergin
Mar 24, 2016

y=1,6y=1,6
y=-6,8y=−6,8

Explanation:

6x+2y=-4" (1)"6x+2y=−4 (1)
3x-4y=-10" (2)"3x−4y=−10 (2)
"extend the equation (2) by 2"extend the equation (2) by 2
6x-8y=-20" (3)"6x−8y=−20 (3)
"eliminate the equation (3) from (1) side by side"eliminate the equation (3) from (1) side by side
cancel(6x)-cancel(6x)+2y+8y=-4+20
10y=16
y=16/10
y=1,6
"now use (1)"
6(1,6)+2y=-4
9,6+2y=-4
2y=-4-9,6
2y=-13,6
y=-(13,6)/2
y=-6,8

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