I will solve your system by substitution.
y
=
2
x
−
3
;
−
1
2
x
=
y
−
3
Step: Solve
y
=
2
x
−
3
for y:
Step: Substitute
2
x
−
3
for
y
in
−
1
2
x
=
y
−
3
:
−
1
2
x
=
y
−
3
−
1
2
x
=
2
x
−
3
−
3
−
1
2
x
=
2
x
−
6
(Simplify both sides of the equation)
−
1
2
x
+
−
2
x
=
2
x
−
6
+
−
2
x
(Add -2x to both sides)
−
5
2
x
=
−
6
−
5
2
x
−
5
2
=
−
6
−
5
2
(Divide both sides by (-5)/2)
x
=
12
5
Step: Substitute
12
5
for
x
in
y
=
2
x
−
3
:
y
=
2
x
−
3
y
=
2
(
12
5
)
−
3
y
=
9
5
(Simplify both sides of the equation)
Answer:
x=12/5 and
y=9/5
