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Cloud [144]
3 years ago
5

Solve the system by graphing. {-2x=2y-4, 2x-y=-5

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

x=(2y-4)/-2

x=-y+2

2(-y+2)-y=-5

-2y+4-y=-5

-3y+4=-5

-3y=-9

y=3

x=-y+2

x=-3+2

x=-1

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Lera25 [3.4K]
A. X=4
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8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then
atroni [7]

Answer:

If a + b = 0 then a = 0 and b =0

a  | b | a + b (answer)

0 | 0 | 0

0 | 1  | 1

0 | 2 | 2

1  | 0 | 1

2 | 0 | 2

1  | 1  | 2

2 | 1  | 3

 

Step-by-step explanation:

Considering the following conditions for the real numbers:

a\geq 0\\b\geq 0

Following the rules of these in-equations, it is possible to deduce:

a + b \geq 0

Then, if the proposed statement is:

a + b = 0

The conditions above shall comply the requirements established, but first, analyzing the statement:

If a \geq 0 and b \geq 0 then a + b \geq a, a + b \geq b and a + b \geq 0.

If a = 0 and b a non negative real number, then a + b \geq b, but because to a = 0, then a + b = b. Due to the commutative property of sums, the same behavior will be presented if b = 0 and a a non negative real number.

According to that, if  a + b = 0, then a = 0 and b = 0.

7 0
3 years ago
What is 3x-8=4. Solve for x. Explain.
tangare [24]

Answer:

4

Step-by-step explanation: 3 x 4 = 12.

                                             12 - 8 = 4.

3 0
3 years ago
Variable y varies directly with variable x, and y = 5 when x = 8.
qaws [65]
Y = kx

Plug in what we know:

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Divide 8 to both sides:

k = 0.625

Plug this back into the equation along with y = 15:

y = kx

15 = 0.625x

Divide 0.625 to both sides:

x = 24
4 0
3 years ago
Read 2 more answers
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