SOLUTION: Good Morning, PLEASE Help learn how to solve the below methods. Solve the system of equation using the substitution methods. 2x + 3y =2 2x -

Algebra ->  Equations -> SOLUTION: Good Morning, PLEASE Help learn how to solve the below methods. Solve the system of equation using the substitution methods. 2x + 3y =2 2x -      Log On


   

Question 1012700: Good Morning,
PLEASE Help learn how to solve the below methods.

Solve the system of equation using the substitution methods.
2x + 3y =2
2x - y =5


Thanking you in advance Betty
Found 3 solutions by Fombitz, algebra hello, macston:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
From the first equation,
2x=2-3y
Substitute into the second equation,
%282-3y%29-y=5
2-4y=5
-4y=3
y=-3%2F4
So then,
2x=2-3%28-3%2F4%29
2x=2%2B9%2F4
2x=8%2F4%2B9%2F4
2x=17%2F4
x=17%2F8
Verifying graphically,
.

Answer by algebra hello(55) About Me  (Show Source):
You can put this solution on YOUR website!
2x-y=5
y=2x-5
put this value in equation
2x 3y=2
you get
2x 3(2x-5)=2
2x 6x-15=2
8x=17
x=17/8
and then y= 2*17/8-5
y=-3/4

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
2x+3y=2
2x-y=5
.
Solve second equation for 2x.
Substitute for 2x in first equation.
.
2x-y=5
2x=y+5
.
2x+3y=2
(y+5)+3y=2
4y+5=2
4y=-3
y=-3/4
.
Use this value of y in one of the equations, solve for x.
2x-y=5
2x-(-3/4)=5
2x+3/4=20/4
2x=17/4
x=17/8
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Put the x and y in the other equation to check.
.
CHECK:
2x+3y=2
2(17/8)+3(-3/4)=2
17/4-9/4=2
8/4=2
2=2
.