solve by elimination

Question

5r-3s=19
2r-6s=-2

Answer 1

5 r - 3 s = 19 Multiply both sides by - 2

- 5 r * ( - 2 ) - 3 s * ( - 2 ) = 19 * ( - 2 )

- 10 r + 6 s = - 38

Now your system become:

- 10 r + 6 s = - 38

+

2 r - 6 s = - 2
__________________

- 10 r + 2 r + 6 s - 6 s = - 38 + ( - 2 )

- 8 r = - 38 - 2

- 8 r = - 40 Divide both sides by - 8

r = - 40 / - 8 = 5

r = 5

5 r - 3 s = 19

5 * 5 - 3 s = 19

25 - 3 s = 19 Subtract 25 to both sides

25 - 3 s - 25 = 19 - 25

- 3 s = - 6 Divide both sides by - 3

s = - 6 / - 3 = 2

s = 2

Solution:

r = 5 , s = 2

Answer 2

5 r - 3 s = 19 Multiply both sides by - 2

5 r * ( - 2 ) - 3 s * ( - 2 ) = 19 * ( - 2 )

- 10 r + 6 s = - 38