Answer:
(-1,-3)
Step-by-step explanation:
The graph of y=2x-1 has a slope of 2 (up 2, right 1) and y-intercept at (0,-1)
The graph of y=-4x-7 has a slope of -4 (up 4, left 1) and y-intercept at (0,-7)
To solve the system of equations algebraically we can set the equations equal to each other as both are equal to y:
2x-1= -4x-7 Add 4x to both sides
6x-1=-7 Add 1 to both sides
6x=-6 Divide by 6
x=-1
Use the x-value and plug it back in to any equation. I'll chose the top one for simplicity.
y=2(-1)-1
y=-2-1
y=-3
So the point at which the system of equations is equal is: (-1,-3)
