JentrieA489085 JentrieA489085
  • 30-10-2022
  • Mathematics
contestada

several students attempted to solve the system of equations x + y = 1 and -2x + y = 4. which one is correct

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EllorieQ15334 EllorieQ15334
  • 30-10-2022

x= -1 and y=2

1) Let's solve that Linear System of Equations

x+y=1

-2x+y=4

We can apply the Elimination Method, so let's multiply the first equation by 2, and then cancel out the x term, this way:

x+y=1 x2

-2x+y=4

2x+2y=2

-2x+y=4

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

3y = 6 Divide both sides by 3

y= 2

2) Now we can plug into the first equation (the simplest one) y=2 and solve it for x.

x+y=1

x + 2 = 1

x +2 -2 = 1-2 Subtract 2 from both sides

x= -1

3) Hence the one who is correct found x= -1 and y=2

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