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VMariaS [17]
3 years ago
6

Solve the system of equations by graphing. x+y=3 y=2x−15

Mathematics
2 answers:
nexus9112 [7]3 years ago
6 0

Answer:

Step-by-step explanation:

x+y=3

graphing the equation by X intercept (3,0) and Y intercept (0,3)

y=2x-15

graphing the equation with slope = positive 2

and Y intercept = -15

and graphs of these lines are given as follows

solution is given by (6,-3)

Stella [2.4K]3 years ago
4 0

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x + y = 3

x = 3 - y


y = 2x - 15

y = 2(3 - y) - 15

y = 6 - 2y - 15

y = -2y - 9

3y = -9

y = -3


y = 2x - 15

-3 = 2x - 15

-2x = -12

x = 6


So...

The answer is: (6, -3)

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The value of y varies directly with x, and y=3 when x=9 find y when x = 21
tester [92]

Answer: y = 7

Step-by-step explanation:

Step 1) plug in 3 for y and 9 for x in the direct variation formula, which is y = kx

3 = k(9)

Step 2) Solve for k

3 = k(9) (Divide by 9 on both sides)

3/9 = k (Now simplify 3/9)

1/3 = k. So k = 1/3

*just FYI: “k” is the constant of variation.

Step 3) use the equation y = kx and plug in 1/3 for k

y = 1/3x

Step 4) using the equation y = 1/3x, plug in 21 for x.

y = 1/3(21) (1/3*21 is the same as 21/3)

y = 21/3 (21/3 = 7)

y = 7. So that’s you’re answer! When x=21, y=7 because 7 is 1/3 of 21!

Hope this helps! My best wishes to you as you go through school!

3 0
3 years ago
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goldenfox [79]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
My number has a tens digit that is 8 more than the ones digit. Zero is not one of my digits. Write the 2-digit number that match
pochemuha

Answer:

The number is 91

Step-by-step explanation:

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Then the number would be 10y + x,

We have,

y - x = 8

Possible values of y and x = { (8, 0), (9, 1) }

∵ 0 is not the digit of the number,

Hence, y = 9 and x = 1

Therefore, required number = 10(9) + 1 = 90 + 1 = 91

6 0
3 years ago
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Answer:

Linear Graph

Step-by-step explanation:

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2 years ago
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Leno4ka [110]

Answer:

To the nearest dollar: 34$

To the nearest 5 dollars: 35$

To the nearest 10 dollars: 30$

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