Answer:
x
=
5
2
and
y
=
3
2
Step-by-step explanation:
Let's solve your system by substitution.
2
x
−
2
y
=
2
;
y
=
−
5
x
+
14
Rewrite equations:
y
=
−
5
x
+
14
;
2
x
−
2
y
=
2
Step: Solve
y
=
−
5
x
+
14
for y:
y
=
−
5
x
+
14
Step: Substitute
−
5
x
+
14
for
y
in
2
x
−
2
y
=
2
:
2
x
−
2
y
=
2
2
x
−
2
(
−
5
x
+
14
)
=
2
12
x
−
28
=
2
(Simplify both sides of the equation)
12
x
−
28
+
28
=
2
+
28
(Add 28 to both sides)
12
x
=
30
12
x
12
=
30
12
(Divide both sides by 12)
x
=
5
2
Step: Substitute
5
2
for
x
in
y
=
−
5
x
+
14
:
y
=
−
5
x
+
14
y
=
−
5
(
5
2
)
+
14
y
=
3
2
(Simplify both sides of the equation)
Answer:
x
=
5
2
and
y
=
3
2
