Question

What are the solutions to the system of equations, y=x+21 2x+y=57

Answer 1

Answer:

(12,33)

Step-by-step explanation:

This system can be solved using the substitution method. This is where you replace one variable by another.

Step 1:

Plug in $x+21$ for the y

Step 2:

Combine like terms

$2x+x+21=57\\3x+21=57$

Step 3:

Subtract 21 from both sides

$3x=36$

Step 4:

Divide both sides by 3

$x=12$

Step 5:

Use the first equation and plug in 12 for x

$y=12+21$

$y=33$

Step 6:

Proof of work

$2(12)+33=57\\24+33=57\\57=57$