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

(5,2)

Step-by-step explanation:

Multiply equation to get like terms

Use elimination

Solve for x and y

(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