Question

Solve the system of equations y = 2x + 3 and 4x - 2y = -6 using a graphical method.

A) (-3/2 , 0)
B) (3/2 , 6)
C) (2 , 7)
D) infinite solutions ​

Answer 1

The answer is D) Infinite solutions.

To graph a linear equation, first you plot the y-intercept, then move the point depending on your slope.

First, you need to solve 4x - 2y = -6. So you subtract 4x on both sides, then divide each side by -2. This gives you y = 2x + 3.

Y = 2x + 3 is point (1, 5) on the graph. And since the graphs of the equations are the same, there are infinite solutions.