x=1,y=7
Answers
what is ur question
Answer:
The solution is
(
15
8
,
97
8
)
or
(
1.875
,
12.125
)
.
Explanation:
Solve the system:
Equation 1:
y
=
7
x
−
1
Equation 2:
y
=
−
x
+
14
Both linear equations are in slope-intercept form. The solution to the system is the point that both lines have in common, the point of intersection. Substitution will be used to solve the system.
Both equations are set equal to
y
. Substitute
7
x
−
1
from Equation 1 for
y
in Equation 2 and solve for
x
.
y
=
−
x
+
14
7
x
−
1
=
−
x
+
14
Add
x
to both sides.
x
+
7
x
−
1
=
14
Simplify.
8
x
−
1
=
14
Add
1
to both sides.
8
x
=
15
Divide both sides by
8
.
x
=
15
8
or
1.875
Substitute
15
8
for
x
in Equation 1 and solve for
y
.
y
=
7
x
−
1
y
=
7
(
15
8
)
−
1
y
=
105
8
−
1
Multiply
1
by
8
8
to get a denominator of
8
.
y
=
105
8
−
1
×
8
8
y
=
105
−
8
8
Combine the numerators.
y
=
105
−
8
8
y
=
97
8
or
12.125
The solution is
(
15
8
,
97
8
)
or
(
1.875
,
12.125
)
.
graph{(y-7x+1)(y+x-14)=0 [-9.455, 10.545, 5.48, 15.48]}