## Related questions with answers

Question

$3x+2y=4$

$2x-3y=-6$

Solution

VerifiedStep 1

1 of 2We are given:

$3x+2y=4\tag{1}$

$2x-3y=-6\tag{2}$

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

$9x+6y=12\tag{3}$

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

$4x-6y=-12\tag{4}$

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

$13x=0$

$x=0$

Solve for $y$ using (2):

$3(0)+2y=4$

$2y=4$

$y=2$

So, the solution of the system is:

$\color{#c34632}(0,2)$

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