Question

HELP ASAP!! graph the system of equations below by graphing both equations below on a piece of paper. what is the solution?

y=x-1
y=3x+1

A. 1, -2

B. -1, -2

C. 2, 1

D. -1, -1​

Answers

  1. Answer: Our answer set is( -1,-2 )
    Step-by-step explanation:
    y = x – 1
    y = 3x + 1
    We can use the combine method here.
    ==> – 1y + 1x = 1  (y = x – 1)
    ==>  -1y +3x = -1 (y = 3x + 1)
    – 1y + 1x = 1  
     -1y +3x = -1
    To single out any of the two variables, we need them to cancel out. Let us choose to cancel out y. We therefore multiply by negative 1 in the first re-arranged equation.
    ==> -1* (- 1y + 1x )= (1 ) * -1
    Now we add the equations
    ==> 1y -1x = -1
    ==>-1y +3x = -1
    ______________
    2x = -2
    Divide.
    ==> x = -1
    Now we insert x into any of the two original equations;
    y = (-1) – 1
    ==> y = -2
    Our answer set is( -1,-2 )

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