Question

Equation M: y = 3x + 4
Equation P: y = 3x + 7
Which of the following options is true about the solution to the given set of equations?

No solution
One solution
Two solutions
Ininite solutions

I thought it was infinite solutions but i got the answer wrong.

Answer 1

for two lines of the form

y=mx+b

to have infinitely many solutions, they must be the same line. That is, m and b must be the same.

Your two lines are parallel, so they never meet; no solutions.

Answer 2

Equation S: y = x + 9
Equation T: y = 2x + 1

Which of the following steps can be used to find the solution to the set of equations?

x = 2x + 1
x + 9 = 2x
x + 1 = 2x + 9
x + 9 = 2x + 1