x+2y=3 and 2x+y=5 elimination method find x and y
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Answer:
One way is to use the method of substitution.
Step 1. Enter the equations.
[1]
x
+
2
y
=
3
[2]
3
x
−
y
=
−
5
Step 2. Solve for one variable in terms of the other.
Solve Equation 2 for
y
.
[3]
y
=
3
x
+
5
Step 3. Substitute Equation 3 in Equation 1 and solve for
x
.
x
+
2
(
3
x
+
5
)
=
3
x
+
6
x
+
10
=
3
7
x
=
−
7
[4]
x
=
−
1
Step 4. Substitute Equation 4 in Equation 1:
−
1
+
2
y
=
3
2
y
=
4
y
=
2
The solution is
x
=
−
1
,
y
=
2
.
Check:
Substitute the values in Equation 2.
3
x
−
y
=
−
5
3
(
−
1
)
−
2
=
−
5
−
3
−
2
=
−
5
5
=
5
Step-by-step explanation:
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