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evablogger [386]
3 years ago
9

Solve the systems of equations using substitution

Mathematics
1 answer:
marishachu [46]3 years ago
7 0

Answer:

C

Step-by-step explanation:

y = 2x + 3 \\ y = 3x + 1 \\ 2x = y - 3 \\ x = 0.5y - 1.5 \\ y = 3(0.5y - 1.5) + 1 \\ y = 1.5y - 4.5 + 1 \\ y  - 1.5y =  - 3.5 \\ 0.5y = 3.5 \\ y =  7

x = 0.5(7) - 1.5 \\ x = 3.5 - 1.5 \\ x = 2

(2, 7)

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Step-by-step explanation:

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3 years ago
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3 0
3 years ago
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The points (4,8) and (6,g) fall on a line with a slope of –5. What is the value of g?
777dan777 [17]
<h3>Answer:  g = -2</h3>

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

Explanation:

We will use the slope formula

m = (y2-y1)/(x2-x1)

Plugging in the given items leads to

-5 = (g-8)/(6-4)

Now solve for g

-5 = (g-8)/(6-4)

-5 = (g-8)/2

-5*2 = g-8

-10 = g-8

-10+8 = g

-2 = g

g = -2

We have (6,g) turn into (6,-2)

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-------------------

As a way to check, we'll find the slope of the line through (4,8) and (6,-2)

m = (y2-y1)/(x2-x1)

m = (-2-8)/(6-4)

m = -10/2

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The answer is confirmed.

6 0
3 years ago
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