Answer: x
=
2
y
=
3
Step-by-step explanation:
You can re-arrange equation
x
+
y
=
5
to get
x
=
5
−
y
and then substitute this into the equation
2
x
+
y
=
7
to get
2
(
5
−
y
)
+
y
=
7
.
This can then be simplified to
10
−
y
=
7
and so
3
−
y
=
0
which means
y
=
3
.
Substitute
y
=
3
into
x
+
y
=
5
and you get
x
+
3
=
5
, therefore:
Answer:
X=4 Y=3
Step-by-step explanation:
Step: Solvex+y=7for x:
x+y=7
x+y+−y=7+−y(Add -y to both sides)
x=−y+7
Step: Substitute−y+7forxin2x−y=5:
2x−y=5
2(−y+7)−y=5
−3y+14=5(Simplify both sides of the equation)
−3y+14+−14=5+−14(Add -14 to both sides)
−3y=−9
−3y
−3
=
−9
−3
(Divide both sides by -3)
y=3
Step: Substitute3foryinx=−y+7:
x=−y+7
x=−3+7
x=4(Simplify both sides of the equation)
