## Related questions with answers

Question

6x + 2y = -12 4x + 3y = 7

Solution

VerifiedStep 1

1 of 2Let:

$6x+2y=-12\tag{1}$

$4x+3y=7\tag{2}$

Solve by elimination. Here, I eliminate $y$ first. Multiply (1) by 3 to obtain (3):

$18x+6y=-36\tag{3}$

Multiply (2) by 2 to obtain (4):

$8x+6y=14\tag{4}$

Subtract each side of (3) and (4) and solve for $x$:

$10x=-50$

$x=-5$

Solve for $y$ using (1):

$6(-5)+2y=-12$

$-30+2y=-12$

$2y=18$

$y=9$

So, the solution of the system is:

$\color{#c34632}(-5,9)$

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