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Scilla [17]
3 years ago
13

2х + Зу = 8 у = 2х + 8

Mathematics
1 answer:
matrenka [14]3 years ago
3 0

Answer:

x = -2, and y = 4

Step-by-step explanation:

In order to solve for x, we need to plug in y.

<u>2x + 3y = 8</u>

2x + 3(2x+8) = 8 --> distribute the 3 to (2x+8)

2x + 6x + 24 = 8 --> add 2x and 6x

8x + 24 = 8 --> subtract 24

8x = -16, and you'd get x = -2

Now solve for y with x:

<u>y = 2x+ 8</u>

y = 2(-2) + 8 --> simplify by multiplying 2 and -2

y = -4 + 8 --> basically 8 - 4

y = 4

Check your answer:

Plug in the numbers:

<u>2x + 3y = 8</u>

2(-2) + 3(4) = 8 --> -4 + 12 = 8 --> 8 = 8

<u>y = 2x + 8</u>

(4) = 2(-2) + 8 --> 4 = -4 + 8 --> 4 = 4

Hope this helps! :)

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