¤ 6n-12=n+3
¤ 6n-n=12+3
¤ 5n=15
¤ n=15÷5
¤ n=3
1. x=1
5x=4+x
4x=4
x=1
2. x=3/4 or 0.75
2/3x=1/2
2x=1 1/2
x=3/4
3. x=1
3x-2x+4=15/3
x+4=15/3
x=1
4. x=5
4x+7=2x+17
2x+7=17
2x=10
x=5
5. x=20
.5x=10
x=20
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
a
3
-
b
3
=
(
a
-
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
2
a
=
x
2
and
b
=
y
b
=
y
.
(
x
2
−
y
)
(
(
x
2
)
2
+
x
2
y
+
y
2
)
(
x
2
-
y
)
(
(
x
2
)
2
+
x
2
y
+
y
2
)
Multiply the exponents in
(
x
2
)
2
(
x
2
)
2
.
Answer:
y=5x
Step-by-step explanation:
Because it has the same slope, both equations must have 5x as their slope. The 2 equations are not going to have the same y intercept, so the +3 can be ignored and replaced with b. You want to plug in (1,5) into you new equation of y=5x+b, to get 5=5(1)+b. Multiply 5 by 1 to get 5, and then subtract 5 from both sides, which gives you 0=b. This means that the y intercept is the origin, so your new equation is y=5x
