Answer:
$.75
Step-by-step explanation:
9 ÷ 12 = 0.75
.75 × 12 = 9
Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
21
Steps:
I will try to solve your system of equations.
3
x
−
y
=
21
;
2
x
+
5
y
=
−
3
Step: Solve
3
x
−
y
=
21
for y:
3
x
−
y
+
−
3
x
=
21
+
−
3
x
(Add -3x to both sides)
−
y
=
−
3
x
+
21
−
y
−
1
=
−
3
x
+
21
−
1
(Divide both sides by -1)
y
=
3
x
−
21
Step: Substitute
3
x
−
21
for
y
in
2
x
+
5
y
=
−
3
:
2
x
+
5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
=
102
17
x
17
=
102
17
(Divide both sides by 17)
x
=
6
Step: Substitute
6
for
x
in
y
=
3
x
−
21
:
y
=
3
x
−
21
y
=
(
3
)
(
6
)
−
21
y
=
−
3
(Simplify both sides of the equation)
Answer:
y
=
−
3
and
x
=
6
Answer:
Step-by-step explanation:
<u>Given the equation: </u>
- E - weekly total, g- number of hours at gas station, t- number of hours at toy store.
<u>Substitute given values into equation and solve for the missing one:</u>
- 219.75 = 9.25g + 10.5*13
- 219.75 = 9.25g + 136.5
- 9.25g = 219.75 - 136.5
- 9.25g = 83.25
- g = 83.25/9.25
- g = 9
Sydawna works 9 hours at the gas station
