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Find the solution of this system of equations2y=-14+7x-3x+2y=-6

1 Answer

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2y=-14+7x

-3x+2y=-6​

First, express both equations in the form:

ax+by = c

-7x+2y=-14 (a)

-3x+2y=-6 (b)

Subtract (b)to (a)

-7x+2y=-14

-

-3x+2y=-6

____________

-4x = -8

Divide both sides by -4:

-4x/-4 = -8/-4

x = 2

Replace x on any equation and solve for y:

(b)

-3x+2y=-6

-3(2)+2y=-6

-6+2y= -6

Add 6 to both sides of the equation:

-6+6+2y= -6+6

2y=0

y=0

Solution:

x=2

y=0

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