Answer:
No solutions
Explanation:
It is easiest to determine whether the equations are consistent by putting both of them in the same form.
Adjusting the form
The equation on the left is in "standard form." The one on the right is in "slope-intercept form." We can rewrite either one of them to put it into the other form.
Rewriting the left equation to slope-intercept form, we have ...
y = 4x -3 . . . . . . . add 4x to both sides
Comparing this to the right equation ...
y = 4x +7
we see that the slopes are the same, and the intercepts are different. These equations describe parallel lines. Parallel lines can never meet, so cannot have any point in common. The equations are inconsistent and have no solution.
Rewriting the right equation to standard form, we have ...
y -4x = 7 . . . . . . . subtract 4x from both sides
Comparing this to the left equation ...
y -4x = -3
we see that the coefficients are the same, but the constants are different. There can be no values of x and y that will satisfy both equations. Any values that make the terms have one sum cannot also make them have a different sum.
There are no solutions.