mk19958 mk19958
  • 01-02-2022
  • Mathematics
contestada

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

Respuesta :

arrowfighter333
arrowfighter333 arrowfighter333
  • 01-02-2022

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]

Answer Link

Otras preguntas

A keg cost $65 plus a $15 refundable deposit. You deliver two ( 2 ) kegs and pick up three ( 3 ) empty kegs, what would the total cost be?
Anne wants to buy the smallest tree she can find for her apartment. Which set orders tree heights from tallest to shortest? a. {4.2 ft, 1 1/4 yd, 3 ft, 34 in.}
In which career would you most likely apply concepts from geometry? a. food critic b. social worker c. radio DJ d. computer game designer
What part of speech is into
Order from least to greatest 3.3, pie, 10/3, 11/4
Explain how the geography if Indian subcontinent contributed to the movement of people and ideas
What is 6 divided by 6n equals 14
Round off then estimate 18.9*5.2
in the number 3,333 the first 3 is in the thousands place its value is.
In which career would you most likely apply concepts from geometry? a. food critic b. social worker c. radio DJ d. computer game designer