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Svet_ta [14]
3 years ago
13

Write and Solve Systems of Equations

Mathematics
1 answer:
Rainbow [258]3 years ago
7 0

Answer:

x = 13.5 and y = 7

Step-by-step explanation:

Given equations are :

x + y = 20.5 ...(1)

x − y = 6.5 ...(2)

Add equation (1) and (2).

x + y + x- y = 20.5+6.5

2x = 27

x = 13.5

Put the value of x in equation (1).

13.5 + y = 20.5

y = 20.5-13.5

y = 7

Hence, the values of x and y are 13.5 and 7.

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How do you write the equation in slope intercept form given (2,2) and (0,-2)?
Assoli18 [71]

Answer:

y = 2x - 2

Step-by-step explanation:

The slope-intercept form of the equation of a line is

y = mx + b

where m is the slope, and b is the y-intercept.

y = mx + b

First we find the slope, m.

slope = (difference in y)/(difference in x)

It does not make a difference which point is first and which point is second in finding the differences, but you must do the x- and y-differences in the same order.

slope = (-2 - 2)/(0 - 2) = -4/(-2) = 2

The slope is 2, so m = 2, and now we have:

y = 2x + b

We need to find the value of b, the y-intercept.

We use one of the given points. Let's use (2, 2). We plug in 2 for x and 2 for y and solve for b.

2 = 2(2) + b

2 = 4 + b

-2 = b

b = -2

Now that we know the y-intercept is -2, we substitute b with -2.

y = 2x + b

y = 2x - 2

Answer: y = 2x - 2

5 0
3 years ago
These numbers can be the sides of a triangle?<br> 3,3,10<br> TRUE<br> FALSE
Nady [450]

Answer:

False

Step-by-step explanation:

Because triangles only have 3 sides

Hope this helps

Brainliest please

6 0
3 years ago
Read 2 more answers
How many times can 2 go into 70
Marianna [84]

Answer:

35

Step-by-step explanation:

2 x 35 = 70

3 0
3 years ago
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Which ordered pair is the best estimate for the solution of the system of equations?
Brums [2.3K]

For this case we have the following system of equations:

y = - \frac {3} {4} x-2\\y = x + 6

Equaling the equations we have:

- \frac {3} {4} x-2 = x + 6\\-2-6 = (1+ \frac {3} {4}) x\\-8 = \frac {7} {4} x\\-32 = 7x\\x = \frac {-32} {7}\\x = -4.57

The variable y:

y = -4.57 + 6 = 1.43

Thus, we can round the solution as:

(x, y): (- 4.5; 1.5)

It is verified with the graph

Answer:

Option C

7 0
4 years ago
FINAL ROUND!! Could someone please help answer this thanks so much, please no spam, will give brainliest (homework help)
Genrish500 [490]

Answer:

a is less than or equal to 7

Step-by-step explanation:

This is the case because we can treat the less than or equal to sign as an equal sign. The only time it changes is when we divide by a negative, but we do not do that in this problem. First, you subtract 7 from both sides. That leaves us with a 4a on one side and a 28 on the other. Then, you divide both sides by four to get a is less than or equal to 7. I hope this helps!

6 0
3 years ago
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