Question

Use the substitution method to solve the following system of equations: 3x + 5y = 3 x + 2y = 0 (1 point) (1, 1) (6, −3) (6, 1) (1, −3)

Answer 1

(6,-3)

Explanation:

Got it right on the test

Hope this helps :)

Answer 2

Explanation:

Given.

`3x+5y=3`

`x+2y=0`

Take the second equation and subtract 2y to both sides.

`(x+2y)-2y=0-2y`

`x=-2y`

Substitute x into the first equation and simplify.

`3x+5y=3`

`3(-2y)+5y=3`

`-6y+5y=3`

`-y=3`

Invert.

`y=-3`

Substitute Y into your second equation.

`x+2y=0`

`x+2(-3)=0`

`x-6=0`

Add -6 to both sides.

`(x-6)+6=0+6`

`x=6`

Answer:

(6, -3)