3x+y=5 2x-2y=-2 solving systems of equations

Answers

Answer 1

Answer: $3x+y=5 \ \ /*2 \n 2x-2y=-2 \n \n 6x+2y= 10\n 2x-2y=-2 \n + ----- \n8x=8 \ \ / :8\nx=1 \n \n3*1+y=5 \n y=5-3\ny=2\n \n Answer : \n \n x=1 \n y=2$

Answer 2

Answer: 3x+y=5
2x-2y=-2
x+3y=7
x+3y-3y=7-3y
x=7-3y
3(7-3y)+y=5
21-9y+y=5
21-8y=5
21-21-8y=5-21
8y=-16
8y/8=-16/8
y=-2
x=7/3

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A potter use 3/5 of a pound of clay to make a bowl.How many bowls the potter make from 10 pounds.

Answers

We are writing proportion:
$(3)/(5) of a pound of clay -$ 1 bowl
10 pound of clay - x bowl
We are looking for x which is amount of bowl
After cross multiplication:
$(3)/(5)$ x=10
x= $(50)/(3)$ =16,66 ,so from 10 pounds we will make 16 bowls.

10 divided by 3/5 = 10 x 5/3 = 50/3 = 16 and 2/3 bowls.

That's the mathematical answer. In the real-world pottery shop, he can
make 16 complete bowls, and have 2/5 pound of clay left over.

. A recipe calls for 3 teaspoons of salt for every 5 cups of flour. If you wanted to make a larger batch with 15 cups of flour, how much salt would you need? A. 5 teaspoons B. 10 teaspoons C. 9 teaspoons D. 6 teaspoons

Answers

Given:
3 teaspoons of salt for every 5 cups of flour.

How much salt is needed for 15 cups of flour?

This is a proportion problem:
a/b = c/d where ad = bc

3/5 = x/15
3*15 = 5x
45 = 5x
45/5 = x
9 = x

C. 9 teaspoons of salt is needed for 15 cups of flour.

3/5 = 9/15
3*15 = 5*9
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Pythagorean triples are given by the formulas x2 - y2, 2xy, and x2 + y2. Use the formulas for the Pythagorean triples to find a right triangle with leg lengths of 16 and an odd number.

Answers

Hi,
2xy is even ==>2xy=16==>xy=8 ==>(x=8 and y=1) or (x=4 and y=2)
1) if x=4 and y=2 thenx²=16 and y²=4 x²+y²=16+4=20 is not oddx²-y² =16-4=12 is not also odd: impossible
2) if x=8 and y=1 thenx²=64, y²=1x²+y²=64+1= 65 possiblex²-y²=64-1=63The triple is (63,5,65) and 63²+5²=65²

If a baking tray is 700mm by 600mm, how many of 25cm in diameter can fit into the baking tray?

Answers

1cm=10mm
700mm= 70cm
600mm=60cm

70cm:25cm=2,8 - on length only 2 fit into

60cm:25=2,4 - on width only 2 fit into

Two 25cm in diameter fit into the baking tray.

The area of a square is 320 square feet. Estimate the length of one side. Round your answer to the nearest whole number.

Answers

the area of a square is double the side itself. so to do this just square root 320, and you get 17.88854381999832, so to round it up it should be 18 ft

If DE = 7x + 3 and EF = 9x - 19,
then EF = ?