2 answers:
We need to solve the system of equations here.
Our main objective is to remove one of the variables.
To do so we can multiply the second equation by 2 and get 2x+4y=-8
Then we can subtract our new equation from the earlier one and get -5y=21
thus we know y=-21/5=-4.2
we plug that back into the equation and find x
2x-(-4.2*3)=13
2x=25.6
x= 12.8
so the solution is 12.8,-4.2
2x - 3y = 13 (1st)
x + 2y = -4 (2nd)
Use the linear combination method
Multiply second equation by (-2)
(-2) (x + 2y) = -4 * (-2)
-2x - 4y = 8
Now you have:
2x - 3y = 13 (1st)
-2x - 4y = 8 (2nd)
------------------------------addition property
-7y = 21
y = -3
Substitute y = -3 into x + 2y = -4
x + 2(-3) = -4
x - 6 = -4
x = 2
Answer
Solution: x = 2 and y = -3 or (2 , -3)
Hope it helps
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