Question

Solve the system of linear equations using multiplication.

- 4x + 3y
9
5x - 2y
29
The solution is

Answer 1

(15,23)

Explanation:

-4x+3y=9

5x-2y=29

Let's multiply the first equation by 2 and the second equation by 3, in order to have the same coefficient on y.

-8x+6y=18

15x-6y=87

Add these two equations together to eliminate y.

7x=105

x=15

Now, plug in x, to find y.

5(15)-2y=29

75-2y=29

-2y=-46

y=23