Question

What is the solution to the system of linear equations? Please show steps 4x + 5y = 9

−11x − 9y = −20

Answer 1

Explanation:

4x + 5y = 9

-11x - 9y = -20

solution

5y = 4x - 9

divide both side by 5

5y = 4x - 9

5 5

5 cancel at the L.H.S

y = 4x-9

5

insert the value of y in equation ii above

-11x -9(4x-9) = -20

5

-11x - 36x-81 = -20

5

cross multiply at the RHS

-11x- 36x-81 = -100

-47x-81 = -100

-47x = -100+81

-47x = -19

divide both side by -47

-47x = -19

-47 -47

x =