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Let’s check out your problem:
(c) Use your graph to solve these simultaneous equations.
\newline
y
=
x
+
2
and
y
=
−
3
x
−
2
y=x+2 \text { and } y=-3 x-2
y
=
x
+
2
and
y
=
−
3
x
−
2
\newline
x
=
y
=
\begin{array}{l} x= \\ y= \end{array}
x
=
y
=
\newline
\qquad
\newline
1112102
/
M
/
1
/
10
1112102 / \mathrm{M} / 1 / 10
1112102/
M
/1/10
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Home
Math Problems
Algebra 2
Simplify rational expressions
Full solution
Q.
(c) Use your graph to solve these simultaneous equations.
\newline
y
=
x
+
2
and
y
=
−
3
x
−
2
y=x+2 \text { and } y=-3 x-2
y
=
x
+
2
and
y
=
−
3
x
−
2
\newline
x
=
y
=
\begin{array}{l} x= \\ y= \end{array}
x
=
y
=
\newline
\qquad
\newline
1112102
/
M
/
1
/
10
1112102 / \mathrm{M} / 1 / 10
1112102/
M
/1/10
Set Equations Equal:
Set the two equations equal to each other since they both equal
y
y
y
.
x
+
2
=
−
3
x
−
2
x + 2 = -3x - 2
x
+
2
=
−
3
x
−
2
Add
x
x
x
Terms:
Add
3
x
3x
3
x
to both sides to get all
x
x
x
terms on one side.
\newline
x
+
3
x
+
2
=
−
3
x
+
3
x
−
2
x + 3x + 2 = -3x + 3x - 2
x
+
3
x
+
2
=
−
3
x
+
3
x
−
2
Simplify Equation:
Simplify the equation.
4
x
+
2
=
−
2
4x + 2 = -2
4
x
+
2
=
−
2
Subtract
2
2
2
:
Subtract
2
2
2
from both sides to isolate the
x
x
x
term.
\newline
4
x
+
2
−
2
=
−
2
−
2
4x + 2 - 2 = -2 - 2
4
x
+
2
−
2
=
−
2
−
2
Isolate x Term:
Simplify the equation again.
\newline
4
x
=
−
4
4x = -4
4
x
=
−
4
Solve for x:
Divide both sides by
4
4
4
to solve for x.
\newline
x
=
−
4
4
x = \frac{-4}{4}
x
=
4
−
4
Calculate
x
x
x
Value:
Calculate the value of
x
x
x
.
x
=
−
1
x = -1
x
=
−
1
Plug in
x
x
x
:
Plug the value of
x
x
x
into one of the original equations to solve for
y
y
y
. Let's use
y
=
x
+
2
y = x + 2
y
=
x
+
2
.
\newline
y
=
−
1
+
2
y = -1 + 2
y
=
−
1
+
2
Calculate y:
Calculate the value of y.
\newline
y =
1
1
1
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Question
Evaluate the expression for
t
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t = -4.4
t
=
−
4.4
.
\newline
Write your answer in simplest form.
\newline
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\newline
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Solve for
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h
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h
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h
−
3
\frac{-5}{h - 2} = \frac{-4}{h - 3}
h
−
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−
5
=
h
−
3
−
4
\newline
There may be
1
1
1
or
2
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h
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h =
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Question
What is the equation of the vertical asymptote of
y
=
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y = \frac{1}{x + 9}
y
=
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1
? _____
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Posted 2 months ago
Question
What is the excluded value for
y
=
1
x
−
9
−
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y = \frac{1}{x - 9} - 9
y
=
x
−
9
1
−
9
?
\newline
______
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Posted 2 months ago
Question
Simplify. Write your answer using whole numbers and variables.
\newline
9
k
+
4
9
k
2
+
4
k
\frac{9k + 4}{9k^2 + 4k}
9
k
2
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4
k
9
k
+
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\newline
______
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Posted 2 months ago
Question
Divide. Write your answer in simplest form.
\newline
g
−
1
10
g
3
+
25
g
2
÷
(
g
−
1
)
\frac{g- 1}{10g^3 + 25g^2} \div (g- 1)
10
g
3
+
25
g
2
g
−
1
÷
(
g
−
1
)
\newline
______
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Posted 2 months ago
Question
Simplify. Express your answer as a single fraction in simplest form.
\newline
5
−
3
t
3
1
\frac{5 - \frac{3}{t^3}}{1}
1
5
−
t
3
3
\newline
______
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Posted 2 months ago