find 3 solution of 3x+2y=4
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Answer:
Solve the second equation for
y
:
2
x
+
y
=
3
2
x
+
y
−
2
x
=
3
−
2
x
2
x
−
2
x
+
y
=
3
−
2
x
0
+
y
=
3
−
2
x
y
=
3
−
2
x
Step 2) Substitute
3
−
2
x
for
y
in the first equation and solve for
x
:
3
x
+
2
y
=
4
becomes:
3
x
+
2
(
3
−
2
x
)
=
4
3
x
+
(
2
×
3
)
−
(
2
×
2
x
)
=
4
3
x
+
6
−
4
x
=
4
3
x
−
4
x
+
6
=
4
(
3
−
4
)
x
+
6
=
4
−
1
x
+
6
=
4
−
x
+
6
−
6
=
4
−
6
−
x
+
0
=
−
2
−
x
=
−
2
−
1
×
−
x
=
−
1
×
−
2
x
=
2
Step 3) Substitute
2
for
x
in the solution to the second equation at the end of Step 1 and calculate
y
:
y
=
3
−
2
x
becomes:
y
=
3
−
(
2
×
2
)
y
=
3
−
4
y
=
−
1
The solution is
x
=
2
and
y
=
−
1
or
(
2
,
−
1
)
Step-by-step explanation:
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