Question

Solve the system of equations using elimination.

−2x + 3y = 13
x + y = 11

(−5, 1)
(−3, 3)
(3, 8)
(4, 7)

Answer 1

(4,7)

Explanation:

-2x + 3y = 13

-3(x + y = 11)

take the whole bottom equation and multiply by -3 to eliminate the 3y

-2x + 3y = 13

-3x -3y = -33

cancel out 3y

-2x = 13

-3x = -33

add -2 to -3 and 13 to -33

to get -5x = -20

divide -5 on both sides

x = 4

then you can do the exact same steps to find the y coordinates, but if x is 4 then the coordinate point is (4,7)