Respuesta :

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

choixongdong

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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