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3 years ago

Solve each system of linear Equations x+y=5 x-3y=3

Mathematics

1 answer:

JulijaS [17]3 years ago

7 0

X+y=5 y=5-x

x-3y=3
x-3(5-x)=3
x-15+3x=3
4x=18
x=4.5

y=5-x
y=0.5

check
x+y=5 4.5+0.5=5
x-3y=3 4.5-1.5=3

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What is the equation of a line with a slope of 3 and a point

seraphim [82]

Answer: y = 3x-8

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Explanation:

The slope is 3, so m = 3

The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)

We'll use m = 3, x = 3 and y = 1 to find the y intercept

y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8

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So we're given m = 3 as the slope and we just found that b = -8 is the y intercept

So y = mx+b updates to y = 3x-8. This is the final answer.

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Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.

8 0

4 years ago

The average square of toilet paper measures 4.1" x 4.1." If one roll of toilet paper has 329 squares, what is the total area of

Hitman42 [59]

Answer:

5,530.49 $inches^{2}$

Step-by-step explanation:

4.1x4.1=16.81

16.81x329

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3 years ago

A clothes shop has some special offers. T-shirts are buy one get one free and jumpers are 3 for 2. The normal price of a T-shirt

zavuch27 [327]

Answer:

£53.40

Step-by-step explanation:

The shop has an offer where you:

buy 1 T-shirt and get 1 free

buy 3 jumpers and get 2 free

This means if a person pays for 1 T-shirt, he/she gets two and if he/she pays for 3 jumpers, he/she gets 5.

Therefore, to buy 4 T-shirt, you have to pay for 2 and to buy 5 jumpers, you have to pay for 3.

1 T- shirt costs £4.80, therefore, 2 will cost:

2 * 4.80 = £9.60

1 jumper costs £14.60, therefore, 3 will cost:

3 * 14.60 = £43.80

Therefore, the customer will sped a total of:

43.80 + 9.60 = £53.40

The customer will pay £53.40 to get 5 jumpers and 4 T-shirts using this offer.

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3 years ago

What's the angle of y and x ??

victus00 [196]

Y is going to be the number 40
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3 years ago

4(3m-8)=-80 solve each equation for the given variable

Bingel [31]

12m-32=-80
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8 0

3 years ago