Answer:
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Algebra Examples
Popular Problems Algebra Solve by Substitution 3x-4y=9 , -3x+2y=9
3
x
−
4
y
=
9
,
−
3
x
+
2
y
=
9
Solve for
x
in the first equation.
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x
=
3
+
4
y
3
−
3
x
+
2
y
=
9
Replace all occurrences of
x
in
−
3
x
+
2
y
=
9
with
3
+
4
y
3
.
x
=
3
+
4
y
3
−
3
(
3
+
4
y
3
)
+
2
y
=
9
Simplify
−
3
(
3
+
4
y
3
)
+
2
y
.
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x
=
3
+
4
y
3
−
9
−
2
y
=
9
Solve for
y
in the second equation.
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Move all terms not containing
y
to the right side of the equation.
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x
=
3
+
4
y
3
−
2
y
=
18
Divide each term by
−
2
and simplify.
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x
=
3
+
4
y
3
y
=
−
9
Replace all occurrences of
y
in
x
=
3
+
4
y
3
with
−
9
.
x
=
3
+
4
(
−
9
)
3
y
=
−
9
Simplify
3
+
4
(
−
9
)
3
.
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x
=
−
9
y
=
−
9
The solution to the system of equations can be represented as a point.
(
−
9
,
−
9
)
The result can be shown in multiple forms.
Point Form:
(
−
9
,
−
9
)
Equation Form:
x
=
−
9
,
y
=
−
9
image of graph
Question:
Sam is delivering two refrigerators that each weigh 105 kilograms. There is an
elevator with a weight limit of 1,000 pounds. Can he take both refrigerators on the
elevator in one trip? (1 kilogram 2.2 pounds)
Answer: yes he can
Step-by-step explanation:
Yes he can.
He can if the total weight of the 2 refrigerator didn't exceed the weight limit of the elevator.
Therefore:
Since 1 refrigerator weigh 105kg
2 refrigerator = 2 x 105kg = 210kg
The weight limit of the elevator 1000pounds convert to kg.
Since
2.2 pounds = 1kg
1000 pounds = 1000/2.2 kg
=454.55kg
Weight limit of the elevator = 454.55kg.
Since Weight of the 2 refrigerator is less than
weight limit of the elevator, he can take both refrigerators on the elevator in one trip
Answer:
2 ( 3²x² - 5² )
Step-by-step explanation:
it is the answer
Answer:
24
Step-by-step explanation:
96 divided by 4 = 24
Answer:
Step-by-step explanation:
0.2x + 2.7x - 8.1 = 6.9 + 1.1x
0.2x + 2.7x - 1.1x = 6.9 + 8.1
1.8x = 15
x = 15/1.8
x = 8.33
