Question

Is (3,8) a solution to this system of eqautions?
y=7x+8
y=x+1
Yes or No?

Answer 1

Explanation:

plug the numbers in and see if it is true

x=3, y=8

y=7x+8

8=7(3)+8

8=29

is not true, so it is not a solution. even if it might be a solution for the other equation, it is not true for this equation so it is not a solution for this system

how to find an equation: since y=7x+8 and y=x+1, then

7x+8=y, and y=x+1

7x+8=y=y=x+1

7x+8=x+1

6x+8=1

6x=-7

x=-7/6

y=x+1

y=-1/6

solution: (-1 1/6, -1/6)