Question

HELP 29 PTS!!!!
What is the solution of the system of equations? {4x−3y=152x+2y=4 Enter your answer in the boxes.

Answer 1

Answer:

$x=3\\y=-1\\\\(3,-1)$

Step-by-step explanation:

We have the following system of equations

$4x-3y=15\\2x+2y=4$

To solve the system of equations multiply the second equation by -2 and add it to the first equation

$-2*(2x+2y)=-2*4$

$-4x - 4y=-8\\4x-3y=15$

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$-7y = 7\\y=-1$

Now substitute the value of y in any of the two equations and solve for the variable x

$4x-3(-1)=15$

$4x+3=15$

$4x=15-3$

$4x=12$

$x=\frac{12}{4}$

$x=3$

Finally the solution is:

(3, -1)