What is the solution to this system of equations? {4x−3y=263x+2y=11 (−2, 5) (5, 2) (8, 2) (5, −2)

(5, -2)

Explanation:
Step 1 - Align the system of equations and multiply the first equation by 3 and the second row by 4

4x - 3y = 26
3x + 2y = 11

12x - 9y = 78
12x + 8y = 44

Step 2 - Subtract

12x - 9y = 78
12x + 8y = 44

-17y = 34

Step 3 - Simplify by dividing both sides of the equation by -17

-17y = 34
-17y/ -17 = 34/ -17
y = -2

So, y = -2

Step 4 - Enter the value of y into one of the equations and simplify

12x - 9y = 78
12x - 9(-2) = 78
12x - (-18) = 78
12x + 18 = 78

Step 5 - Subtract 18 from both sides

12x + 18 = 78
12x + 18 - 18 = 78 - 18
12x = 60

Step 6 - Divide both sides by 12

12x = 60
12x/ 12 = 60/ 12
x = 5

So, x = 5

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