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snow_tiger [21]
3 years ago
10

(4x-y=-15)(3x-2y=-10)​

Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

<h2>x = -4 and y = -1 → (-4, -1)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}4x-y=-15&\text{multiply both sides by (-2)}\\3x-2y=-10\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-8x+2y=30\\3x-2y=-10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-5x=20\qquad\text{divide both sides by (-5)}\\.\qquad\qquad\boxed{x=-4}\\\\\\\text{Put the value of x to the first equation.}\\\\4(-4)-y=-15\\-16-y=-15\qquad\text{add 16 to both sides}\\-y=1\qquad\text{change the signs}\\\boxed{y=-1}

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A theater has a discount pass that cost nine dollars with the past admission is $6.50 per movie. mike tyrell and juanita all bou
tia_tia [17]

Answer:

They saw <u>24</u> movies.

Step-by-step explanation:

The question is incomplete so the complete question is below:

A theater has a discount pass that cost nine dollars with the pass, admission is $6.50 per movie. Mike, Tyrell and Juanita all bought a pass and went to see movies together they spent a total of $183. Write and solve an equation to find out how many movies they saw.

Now, to find the number of movies they saw.

Let the number of movies they saw be x.

Discount pass = $9.

With the pass admission per movie is $6.50.

Total number of people = 3.

Total money spent = $183.

So, to get the number of movies they saw we write an equation:

3(9)+6.50(x)=183

Now, to solve the equation:

3(9)+6.50(x)=183

27+6.50x=183

<em>Subtracting on both sides by 27 we get:</em>

6.50x=156

<em>Dividing both sides by 6.50 we get:</em>

x=24.

Therefore, they saw 24 movies.

4 0
3 years ago
An apartment has 75 square meters of carpeting. How much is this in square feet? Use the following conversion: 1 square meter is
rjkz [21]
Well the math is easy

75 * 10.8 = 810
3 0
4 years ago
A single fair die is tossed what is the probability of rolling a number different from 7
sukhopar [10]
100℅ or 10/10 or 100/100 because there is no 7 on a die
7 0
3 years ago
Need help ASAP please
Kay [80]

Answer:

because the length is 4 feet more than the width

=> the length is x + 4 (feet)

because the base has an area of 21 square feet

=> x(x + 4) = 21

<=> x² + 4x = 21

3 0
3 years ago
Find the GFC of 56 and 84. A factor tree for 84 is given below. The GCF of 84 and 56 is 7142128 .
guajiro [1.7K]

Answer:

28 is the GCF

Step-by-step explanation:

What I know about GCF is that it's a greatest (G) common (C) factor (F). The GCF of 84 and 56 is 7142128; false.

56- 56, 28, 14, 8, 7, 4, 2, 1.

84- 84, 42, 28, 21, 14, 12, 7, 6, 4, 3, 2, 1.

Hope this helps. :)

8 0
3 years ago
Read 2 more answers
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