4x - y - 5 = 0 5x + 2y - 13 = 0 Solve using cross multiplication method.
Answers
Answer:
The solution is the point
(
5
,
6
)
.
Explanation:
Equation 1:
4
x
+
y
=
26
Equation 2:
5
x
−
2
y
=
13
We can use addition/elimination and substitution to solve this system.
Multiply Equation 1 by
2
.
2
(
4
x
+
y
)
=
26
×
2
Simplify.
8
x
+
2
y
=
52
Add Equation 1 and 2.
8
x
+
2
y
=
52
5
x
−
2
y
=
13
−
−
−
−
−
13
x
...
...
.
=
65
Divide both sides by
13
.
x
=
65
13
x
=
5
Substitute
5
for
x
in Equation 2 and solve for
y
.
5
(
5
)
−
2
y
=
13
25
−
2
y
=
13
Subtract
25
from both sides.
−
2
y
=
13
−
25
−
2
y
=
−
12
Divide both sides by
−
2
.
y
=
−
12
−
2
←
Two negatives make a positive.
y
=
6
The solution is the point
(
5
,
6
)
.
graph{(4x+y-26)(5x-2y-13)=0 [-9.33, 10.67, 0.08, 10.08]}
Step-by-step explanation:
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