Question

Solve this system of equations by using a matrix. 6x-5y=-15, 4x+3y=-10

Answer 1

(-2.5,0)

Explanation:

1.5(4x+3y)=-10(1.5) =

6x+4.5y=-15

6x+4.5y= 6x-5y (substitution)

-6x from both sides

4.5y =-5y

y=0

6x-0=-15

divide by 6

x=-2.5

Check:

-2.5(4)+3(0)=-10

-10= -10 (correct!)

(6)-2.5-0=- 15 (correct!)