find how many solutions there are
-4 + 4y = -40
y = 3x - 4
5 answers
There is exactly one solution.
solve this
To solve this, we will first solve the equation -4 + 4y = -40 for y:
-4 + 4y = -40
Add 4 to both sides:
4y = -36
Divide by 4:
y = -9
Now, we substitute the value of y back into the second equation y = 3x - 4:
-9 = 3x - 4
Add 4 to both sides:
-5 = 3x
Divide by 3:
x = -5/3
Therefore, the solution to the system of equations is x = -5/3 and y = -9.
-4 + 4y = -40
Add 4 to both sides:
4y = -36
Divide by 4:
y = -9
Now, we substitute the value of y back into the second equation y = 3x - 4:
-9 = 3x - 4
Add 4 to both sides:
-5 = 3x
Divide by 3:
x = -5/3
Therefore, the solution to the system of equations is x = -5/3 and y = -9.
what point is this solution on
The solution to the system of equations x = -5/3 and y = -9 represents the point (-5/3, -9) on the coordinate plane. This point is where the two equations intersect and is the only point that satisfies both equations simultaneously.