Question

Solve the system of equations using the substitution method.

-5x − 3y = 16
y = x
(x, y) = (
,

Answer 1

x = y = -2

Explanation:

Hope this helps

Answer 2

`y = - 2 \\ x = - 2`

Explanation:

Question

`- 5x - 3y = 16 \: \: = > 1 \\ y = x = > 2`

Now you can write the 1st equation like this.

`- 5x - 3y = 16 \\ x = y \\ so \: \: you \: \: \: can \: \: write \\ - 5y - 3y = 16 \: \: \: = > 3`

Now simply Solve the 3rd equation

`- 5y - 3y = 16 \\ - 8y = 16 \\ ( - 8y)/( - 8) = (16)/( - 8) \\ y = - 2`

Now replace y as 2 in the 2nd equation like this

`y = x \\ - 2 = - 2`

Now let's check whether the answer correct or wrong

`- 5x - 3y = 16 \\ - 5 * - 2 - 3 * - 2 = 16 \\ 10 + 6 = 16 \\ 16 = 16`

Yes, the answer is correct

hope this helps you !!