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notsponge [240]
2 years ago
13

Which system of equations has the solution (4,−2)?

Mathematics
1 answer:
Marat540 [252]2 years ago
7 0

Answer:

A)

Step-by-step explanation:

To find the answer we must solve each of the systems separately. Starting with the first one:

x + y = 2

2x - y = 10

We must find what x or y is equal to and then replace it in the second equation. I'll go with y as it seems easier:

x + y = 2

y = 2 - x

Now that we found y we replace it in the second equation this way. Be careful with the signs, the minus with change our signs:

2x - (2 - x) = 10

2x - 2 + x = 10

3x = 12

x = 12/3

x = 4

Now that we have x, we replace the variable with its value in one of the equations. Again, for simplicity I'll go with the one that seems easier.

4 + y = 2

y = 2 - 4

y = - 2

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What is the answer to this question x²-8x+16=0
vovangra [49]
(x+4)(x-4) =0

x +4 = 0
x      = -4

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x  = 4

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5 0
3 years ago
the scale from a square exercise mat in a gymnastic arena to a scale copy of the exercise mat is 8 m for every 2 in. The actual
m_a_m_a [10]

Answer: 18 and 36

Step-by-step explanation:

The scale is 8m for every 2 in and the actual area is 144m2 so we need to covert that into inches. You divide 144 by 8 which = 18 and then multiply 18 x 2 which is equal to 36.

7 0
3 years ago
(1a) Do 4x and 15 + x have the same value when x is 5? How do you know?
diamong [38]

Answer:

Yes, both have the same value ( 20) when x = 5.

Step-by-step explanation:

We have two functions:

y = 15 + x

y = 4*x

We want to see if these functions have the same value when x = 5.

Then we just need to replace x by 5 in both equations, and see if the values of y are the same

first function:

y = 15 + 5 = 20

second function:

y = 4*5 = 20

So yes, both functions are equal to 20 when x = 5.

5 0
3 years ago
Read 2 more answers
Anyone?? Tbh I’m actually having trouble with this question.
aksik [14]
You would do 66×3, which is 198
5 0
3 years ago
10. Giselle invests $16,250 in an account that earns 4.25% interest, compounded continuously.
denis-greek [22]

Answer: <u>24 years</u>

Step-by-step explanation:

% • total = Answer

4.25% • $40,000 = Answer

.0425 • $40,000 = Answer

Answer = $1,700 per year

40,000 ÷ 1,700 = 23.5

<u>23.5 rounded to the nearest year is 24</u>

3 0
3 years ago
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