Answer:
Explanation:
The first equation is already in slope intercept form - y=mx+b
the second equation we would to get y by itself.
so 7x - 6y = 12 subtract 7x from both sides
-6y= -7x + 12 I put the 7x first to keep the y=mx+b form
y = (-7x + 12) / -6 divide both sides by -6
y = 7/6 x -2
so your two equations are now
y = 7/6x + 2
y = 7/6x - 2
you can graph the equation by putting a point in for x and solving for y.
y = 7/6 (0) +2
y = 2
so your first point is (0,2)
try a different value for x
y = 7/6 (6) + 2
y = 7 + 2 (multiplying by 6 cancels out the 6 denominator)
y = 9
so another point is (6, 9)
in the formula y = mx + b , b is the y intercept
so the line will intercept Y at 2 and there will be a point at (6,9)
Do the same for the other equation. It will be exactly the same except that the y intercept will be at -2, not 2.
We have found more than one solution, so the answer can not be one solution or no solutions. By process of elimination we have infinitely many solutions.