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MakcuM [25]
3 years ago
9

Use the substitution method to solve the system of equations. 2x - y = 10 3x - 2y = 8

Mathematics
2 answers:
larisa [96]3 years ago
7 0

Answer:

x=12, y=14

Step-by-step explanation:

2x - y = 10

Solve the equation for y. Subtract 2x from both sides

- y = -2x+10

Divide both sides by -1

y=2x-10

Substitute 2x-10 for y in the second equation

3x - 2(2x-10)= 8

3x - 4x+20= 8

-1x+20= 8

Subtract 20 from both sides

-1x= -12

Divide both sides by -1

x= 12

y=2x-10

Substitute 12 for x

y=2(12)-10=14

y=14

Lady bird [3.3K]3 years ago
5 0
2x-y=10
3x-2y=8

-y= -2x +10 multiply by(-1)
y=2x-10

3x-2(2x-10)=8
3x-4x+20=8
-x=-12 multply by (-1)
x=12
24-y =10
-y=-14
(12,14)

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Math help please show work thanks
GalinKa [24]

Problem 5

d = 29 = diameter

r = d/2 = 29/2 = 14.5 = radius

SA = surface area of sphere

SA = 4*pi*r^2

SA = 4*pi*(14.5)^2

SA = 841pi

SA = 841*3.14

SA = 2,640.74 square inches

To convert from square inches to square feet, we divide by 144. This is because 12^2 = 144.

2,640.74 square inches = (2,640.74)/144 = 18.3 sq ft

<h3>Answer: 18.3 square feet (approximate)</h3>

=====================================

Problem 6

d = 10.7 = diameter

r = d/2 = 10.7/2 = 5.35 = radius

L = 22.3 = slant height

SA = surface area of the cone

SA = pi*r^2 + pi*r*L

SA = pi*(5.35)^2 + pi*5.35*22.3

SA = 147.9275pi

SA = 147.9275*3.14

SA = 464.49235

<h3>Answer:  464.49235 square cm (approximate)</h3>
8 0
3 years ago
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ohaa [14]

Answer:

C

Step-by-step explanation:

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3 years ago
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Given two terms in artimetic sequence find the common difference, the 52 term, and the explicit formula. A15=139 and A30=259
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139, 149, 159, 169, 179, 189, 199, 209, 219, 229, 239, 249, 259.


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3 years ago
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