Answer: 4/7
Step-by-step explanation: Multiply each equation by the value that makes the coefficients of
y
opposite.
5
x
+
2
y
=
7
(
2
)
⋅
(
3
x
−
y
)
=
(
2
)
(
13
)
Simplify.
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5
x
+
2
y
=
7
6
x
−
2
y
=
26
Add the two equations together to eliminate
y
from the system.
5
x
+
2
y
=
7
+
6
x
−
2
y
=
2
6
1
1
x
=
3
3
Divide each term by
11
and simplify.
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x
=
3
Substitute the value found for
x
into one of the original equations, then solve for
y
.
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y
=
−
4
The solution to the independent system of equations can be represented as a point.
(
3
,
−
4
)
The result can be shown in multiple forms.
Point Form:
(
3
,
−
4
)
Equation Form:
x
=
3
,
y
=
−
4