vonshechirinosbonill vonshechirinosbonill
  • 26-03-2021
  • Mathematics
contestada

Using substitution, solve the system of equations. Show your work. 3x – 2y = 7 y = x + 2

Respuesta :

kf387209
kf387209 kf387209
  • 26-03-2021

Answer:

(11,13)

Step-by-step explanation:

Rewrite equations:

y=x+2;3x−2y=7

-----------------------------  

Step: Solvey=x+2for y:

y=x+2

------------------------------

Step: Substitutex+2foryin3x−2y=7:

3x−2y=7

3x−2(x+2)=7

x−4=7(Simplify both sides of the equation)

x−4+4=7+4(Add 4 to both sides)

x=11

------------------------------

Step: Substitute11forxiny=x+2:

y=x+2

y=11+2

y=13(Simplify both sides of the equation)

------------------------------

Answer:

x=11 and y=13

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