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Iteru [2.4K]
4 years ago
8

Tyson began solving the system ​ {4x+2y=64x+5y=15 ​ by writing −3y=−9 .

Mathematics
1 answer:
Artyom0805 [142]4 years ago
5 0
<span>4x+2y=6     (1)
4x+5y=15   (2)

1)  - (2) =4x-x4 +2y -5y = 6 - 15
equivalent to -3y= -9
so the true answer is  </span><span>subtraction property of equality</span>
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1 Multiply both sides by

n

−

3.2

n−3.2.

n

+

0.3

=

9

2

(

n

−

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2

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​

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2 Simplify

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n

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(n−3.2) to

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n

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)

2

2

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​

.

n

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=

9

(

n

−

3.2

)

2

n+0.3=

2

9(n−3.2)

​

3 Multiply both sides by

2

2.

2

n

+

0.6

=

9

(

n

−

3.2

)

2n+0.6=9(n−3.2)

4 Expand.

2

n

+

0.6

=

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n

−

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2n+0.6=9n−28.8

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2n from both sides.

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=

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n

−

28.8

−

2

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0.6=9n−28.8−2n

6 Simplify

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n

−

28.8

−

2

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9n−28.8−2n to

7

n

−

28.8

7n−28.8.

0.6

=

7

n

−

28.8

0.6=7n−28.8

7 Add

28.8

28.8 to both sides.

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n

0.6+28.8=7n

8 Simplify

0.6

+

28.8

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29.4

29.4.

29.4

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n

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29.4

7

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7

29.4

​

to

4.2

4.2.

4.2

=

n

4.2=n

11 Switch sides.

n

=

4.2

n=4.2

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3 years ago
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