Is (1,7) a solution to this system of equations?

Question

y=5x+5
y=6x+1

Answer 1

To determine if (1,7) is a solution to the system of equations, we substitute x = 1 and y = 7 into both equations:

For the first equation:
y = 5x + 5
7 = 5(1) + 5
7 = 5 + 5
7 = 10

This equation is false as 7 does not equal 10.

For the second equation:
y = 6x + 1
7 = 6(1) + 1
7 = 6 + 1
7 = 7

This equation is true as 7 equals 7.

Since (1,7) does not satisfy the first equation and satisfies the second equation, it is not a solution to the given system of equations.