Answer:
x=−2 and y=−5
Step-by-step explanation:
Solve3x−2y=4for x:
3x−2y=4
3x−2y+2y=4+2y(Add 2y to both sides)
3x=2y+4
3x
/3
=
2y+4
/3
(Divide both sides by 3)
x=
2
/3
y+
4
/3
Substitute 2
/3
y+
4
/3
for x in6x−2y=−2:
6x−2y=−2
6(
2
/3
y+
4
/3
)−2y=−2
2y+8=−2(Simplify both sides of the equation)
2y+8+−8=−2+−8(Add -8 to both sides)
2y=−10
2y
/2
=
−10
/2
(Divide both sides by 2)
y=−5
Substitute−5 for y in x=
2
/3
y+
4
/3
:
x=
2
/3
y+
4
/3
x=
2
/3
(−5)+
4
/3
x=−2(Simplify both sides of the equation)
