8
y + x = 4
y - 4 = x
y = -x + 4
y = x + 4
Since the slopes of the lines are negative reciprocals, the lines are perpendicular. Both lines passes through (0, 4), the y-intercept point.
Therefore, the system of equations has one solution, (0, 4).
The equation has infinitely many solutions.
Infinitely many.
There are two solutions and they are: x = -1 and y = 3
There are infinitely many solutions, for example, x=-7 and y=5, because -7+5=-2
Infinitely many: they are the same line!
It has infinitely many solutions.
The equation has infinitely many solutions.
x - 2y = -6 x - 2y = 2 subtract the 2nd equation from the 1st equation 0 = -8 false Therefore, the system of the equations has no solution.
There is no solution for those equations because the lines are parallel so, they never touch.
Infinitely many.
x=4y+1 x=4y-1 No,they have different solutions.
There are two solutions and they are: x = -1 and y = 3
Solve both equations for y, that is, write them in the form y = ax + b. "a" is the slope in this case. Since the two lines have different slopes, when you graph them they will intersect in exactly one point - therefore, there is one solution.
There are infinitely many solutions, for example, x=-7 and y=5, because -7+5=-2
Do you mean: 4x+7y = 47 and 5x-4y = -5 Then the solutions to the simultaneous equations are: x = 3 and y = 5
Infinitely many: they are the same line!
Is a trigonometric equation which has infinitely many real solutions.