Question

PLEASE HELP!!

Solve by the substitution method.

7x + 2y = -19
-5x + y = 33

What is the solution of the ​system?
​(Type an ordered​ pair.)

Answer 1

(x,y) = (-5,8)

Explanation:

The given equations are:

`$ 7x + 2y = -19 \hspace{15mm} ....(1) $`

`$ -5x+ y = 33 \hspace{15mm} ....(2) $`

Equation (2) can be written as:
`$ y = 5x + 33 $`

The value of
`$ y $` is now substituted in Equation (1).

∴ Equation (1) becomes
`$ 7x + 2(5x + 33) = -19 $`

⇒
`$ 7x + 10x + 66 = -19 $`

⇒ 17x = - 85

⇒ x = -5

Now substitute the value of x in (2) to get the value of y.

`$ \implies -5(-5) + y = 33 $`

`$ \implies y = 33 - 25 = 8 $`

∴ y = 8

The ordered pair is (x,y) = (-5,8)