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Ann [662]
3 years ago
11

Solve each system by substitution.

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0
-8x + 4y = 20
-8x = 20 - 4y

Subtitute -8x with 20-4y
-8x + 7y = 5
(20-4y) + 7y = 5
20 + 3y = 5
3y = 5 - 20
3y = -15
y = -15/3
y = -5

Find x
-8x = 20 - 4y
-8x = 20 - 4(-5)
-8x = 20 + 20
-8x = 40
x = 40/-8
x = -5
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Answer:

The Answer is: y = 2x - 3

Step-by-step explanation:

Given points: (3, 3) and (4, 5)

Find the slope, m:

m = y - y1/(x - x1)

m = 3 - 5/(3 - 4)

m = -2/-1 = 2

Use the Point Slope form of the equation:

y - y1 = m(x - x1)

y - 5 = 2(x - 4)

y - 5 = 2x - 8

y = 2x - 8 + 5

y = 2x - 3

Proof:

f(3) = 2(3) - 3

= 6 - 3 = 3, giving (3, 3)

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Step-by-step explanation:

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