Question

For questions 5 and 6, solve the system using the Elimination method.

6.) Зу = 26 -5x
6х +7y = 21​

Answer 1

`\boxed{x = 7~~and~~y = -3}`

.

Explanation:

5x + 3y = 26 (times 6) 30x + 18y = 156

6x + 7y = 21 (times 5) 30x + 35y = 105

.

30x + 18y = 156

30x + 35y = 105

-17y = 51

`y = (51)/(-17)`

y = -3

.

Substitute the value of y to one of equations

6x + 7y = 21

6x + 7(-3) = 21

6x - 21 = 21

6x = 21 + 21

6x = 42

`x = (42)/(6)`

x = 7