How to Determine whether the point (1,7) is a solution of the system
2x+6y=50
10x+0y=10
by substituing the point into each equation.
2x + 6y = 50
2(1) + 6(7) = 50
2 + 48 = 50
The point (1,7) IS on that line
10x + 0y = 10
10(1) + 0(7) = 10
10 + 0 = 10
10 = 10
The point (1, 7) IS on that line.
The point (1, 7) satisfies BOTH equations, so
it is a solution of the system.
(The second equation is a vertical line at x = 1.
It is bound to intersect ANY other line that is NOT vertical.)