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sweet-ann [11.9K]
3 years ago
10

Solve the following system of equations for x and y.

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0
<h2>Answer:</h2>

We can solve this system by elimination to solve for y by multiplying the top equation by 4 and the bottom one by -5.

4(5x + y = 2)\\-5(4x - 2y = 10)\\\\20x + 4y = 8\\-20x + 10y = -50\\\\14y = -42\\\\y = -3

Now, with what we got for y, we plug it back into one of the original equations. I chose the top one.

5x + 7 = 2\\\\5x = -5\\\\x = -1

Now we have the solution of this system

The solution is <em>A. (-1, -3)</em>.

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Simplify or reduce the answer to 1/4+2/7+1/2​
V125BC [204]

Answer:  29/28

Step-by-step explanation:

To add fractions we have to calculate the Least Common Denominator of the denominators. Then we have to change each fraction (using equivalent fractions) to make their denominators the same as the Least Common Denominator. Then we can add (or subtract) the fractions.

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\textit{\textbf{Spymore}}

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3 years ago
HELP PLEASE!! NUMBER 6!!
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Answer:

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3 years ago
Help on all 3 questions
pickupchik [31]

Answer:

a. What is the slope of the line?

y = -3x-3

b. What is the x-intercept of the line? (Where does the line cross the x-axis?)

(-1,0)

c. What is the y-intercept of the line? (Where does the line cross the y-axis?)

(0, -3)

Step-by-step explanation:

Calculate slope:

m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{-3-0}{0-(-1)} \\m = \frac{-3}{1}\\m = -3

Calculate y-intercept:

<em>(Pick any point that lies on the line)</em>

<em />(-1,0)

b = y - (mx)\\b = 0 - (-3 * -1)\\b = 0 - (3)\\b = -3

Create function:

y = -3x-3

Get x-intercept:

<em>Set y = 0:</em>

<em />0 = -3x-3\\3 = -3x\\-1 =x

(-1,0)

Get y-intercept:

<em>Set x = 0:</em>

y = -3x-3\\y = -3 * 0 -3\\y = 0 - 3\\y = -3

(0, -3)

5 0
2 years ago
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