srsr6sgaming srsr6sgaming
  • 29-11-2020
  • Mathematics
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Find the solution to the system of the equations shown below: y = -4x + 11
y=1/2x+2​

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leena
leena leena
  • 29-11-2020

Hello!

[tex]\large\boxed{x = 2}[/tex]

Set the two equations equal to each other to solve:

y = -4x + 11

y = 1/2x + 2

-4x + 11 = 1/2x + 2

Add 4x to both sides:

-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***

11 = 9/2x + 2

Subtract 2 from both sides:

11 - 2 = 9/2x + 2 - 2

9 = 9/2x

Divide both sides by 9/2:

9 * (2/9) = 9/2x * (2/9)

x = 2.

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