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

Sagot :

arrowfighter333

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 [tex]x+21[/tex] for the y

Step 2:

Combine like terms

[tex]2x+x+21=57\\3x+21=57[/tex]

Step 3:

Subtract 21 from both sides

[tex]3x=36[/tex]

Step 4:

Divide both sides by 3

[tex]x=12[/tex]

Step 5:

Use the first equation and plug in 12 for x

[tex]y=12+21[/tex]

[tex]y=33[/tex]

Step 6:

Proof of work

[tex]2(12)+33=57\\24+33=57\\57=57[/tex]

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