Question

Determine the solution of the system. Show your work

Y= 5x-9
Y= 2x+6


Please , Please show your work step by step . Thank you


Write an equation of a line whose graph parallel ton the graph of y=3x-10

thank you

Answer 1

First question:

1. Set equations equal to each other so 5x-9=2x+6
2. Put x's on one side so that 3x=15
3. Divide by 3 so that x=15
4. Substitute 15 in for x so that y=2(15)+6
5. Solve for y so that y=36
6. Thus the equations intersect at (15,36)

Second question:

1. Since for lines y=mx+b, and m=slope=3 you only need to write an equation with slope 3
2. y=3x+b, b can be any number