Answer:
x=1
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
3x−2y=1;2x+2y=4
Step: Solve3x−2y=1for x:
3x−2y+2y=1+2y (Add 2y to both sides)
3x=2y+1
x
3
=
2y+1
3 (Divide both sides by 3)
x=
2
3
y+
1
3
Step: Substitute 2
3
y+
1
3
for xin 2x+2y=4:
2x+2y=4
2(
2
3
y+
1
3
)+2y=4
10
3
y+
23
=4 (Simplify both sides of the equation)
10
3
y+
2
3
+
−2
3
=4+
−2
3 (Add (-2)/3 to both sides)
10
3
y=
10
3
10
3
y
10
3
=
10
3
10
3 (Divide both sides by 10/3)
Step: Substitute 1 for yin x=
2
3
y+
1
3
:
x=
2
3
y+1
3
x=
2
3
(1)+
1
3
x=1 (Simplify both sides of the equation)
That was a lot to type.
