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Let’s check out your problem:
3
x
−
5
y
−
4
=
0
3 x-5 y-4=0
3
x
−
5
y
−
4
=
0
and
9
x
=
2
y
+
7
9 x=2 y+7
9
x
=
2
y
+
7
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Math Problems
Algebra 2
Factor polynomials
Full solution
Q.
3
x
−
5
y
−
4
=
0
3 x-5 y-4=0
3
x
−
5
y
−
4
=
0
and
9
x
=
2
y
+
7
9 x=2 y+7
9
x
=
2
y
+
7
Substitute y:
Step Title: Substitute y in the second equation
\newline
Calculation:
9
x
=
2
(
3
x
−
4
5
)
+
7
9x = 2\left(\frac{3x - 4}{5}\right) + 7
9
x
=
2
(
5
3
x
−
4
)
+
7
Solve for x:
Step Title: Solve for x
\newline
Calculation:
9
x
=
(
6
x
−
8
)
5
+
7
⇒
45
x
=
6
x
−
8
+
35
⇒
45
x
−
6
x
=
27
⇒
39
x
=
27
⇒
x
=
27
39
9x = \frac{(6x - 8)}{5} + 7 \Rightarrow 45x = 6x - 8 + 35 \Rightarrow 45x - 6x = 27 \Rightarrow 39x = 27 \Rightarrow x = \frac{27}{39}
9
x
=
5
(
6
x
−
8
)
+
7
⇒
45
x
=
6
x
−
8
+
35
⇒
45
x
−
6
x
=
27
⇒
39
x
=
27
⇒
x
=
39
27
More problems from Factor polynomials
Question
Factor out the greatest common factor. If the greatest common factor is
1
1
1
, just retype the polynomial.
\newline
4
x
3
−
6
x
2
4x^3 - 6x^2
4
x
3
−
6
x
2
\newline
______
Get tutor help
Posted 3 months ago
Question
Factor
x
4
+
8
x
2
+
16
x^4 + 8x^2 + 16
x
4
+
8
x
2
+
16
completely.
\newline
All factors in your answer should have integer coefficients.
\newline
______
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Posted 3 months ago
Question
Find the binomial that completes the factorization.
\newline
t
3
+
u
3
=
(
‾
)
(
t
2
−
t
u
+
u
2
)
t^3 + u^3 = (\underline{\hspace{1cm}}) (t^2 - tu + u^2)
t
3
+
u
3
=
(
)
(
t
2
−
t
u
+
u
2
)
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Posted 3 months ago
Question
Factor.
\newline
g
2
−
11
g
+
18
g^2 - 11g + 18
g
2
−
11
g
+
18
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Posted 3 months ago
Question
Factor.
\newline
2
y
3
−
y
2
+
16
y
−
8
2y^3 - y^2 + 16y - 8
2
y
3
−
y
2
+
16
y
−
8
\newline
______
\newline
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Posted 3 months ago
Question
Factor.
\newline
2
x
8
+
7
x
2
2x^8 + 7x^2
2
x
8
+
7
x
2
\newline
______
Get tutor help
Posted 4 months ago
Question
Factor.
\newline
9
y
12
+
4
y
5
−
y
2
9y^{12} + 4y^5 - y^2
9
y
12
+
4
y
5
−
y
2
\newline
______
Get tutor help
Posted 4 months ago
Question
Factor.
\newline
6
a
4
+
3
a
3
−
a
+
2
6a^4 + 3a^3 - a + 2
6
a
4
+
3
a
3
−
a
+
2
\newline
_____
Get tutor help
Posted 4 months ago
Question
Factor.
\newline
4
c
7
−
2
c
5
+
c
2
−
5
4c^7 - 2c^5 + c^2 - 5
4
c
7
−
2
c
5
+
c
2
−
5
\newline
_____
Get tutor help
Posted 4 months ago
Question
Factor.
\newline
7
m
9
+
2
m
6
−
m
3
+
4
m
−
10
7m^9 + 2m^6 - m^3 + 4m - 10
7
m
9
+
2
m
6
−
m
3
+
4
m
−
10
\newline
_____
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Posted 4 months ago