Question

What is the solution to the system?

Line 1
x y
–1 9
3 –3
Line 2
x y
–1 –1
2 5

Answer 1

Point slope form again

-3-9/3+1= -3

y+1=-3(x-9)

y+1=-3x+27

y=-3x+26

5+1/2+1=2

y+1=2(x+1)

y+1=2x+2

y=2x+1

For your system of equations you have

y={y=-3x+26}
y={y=2x+1}

There is a couple ways you can solve this. You could either use a subtraction method, or a substitution method. since they are both y = something i would just substitute one y in one or the other equation.

2x+1=-3x+26

5x+1=26

5x=25

x=5

So now you just plug in x = 5 for each quotation and you have your y's for both solution points

y=-3(5)+26
y=11

y=2(5)+1
y=11

So this works out nice, your solutions for the set of equations is (5,11) since they are the same points