Solve the system of linear equations using the graphing method. Use “no solution” and “infinitely many” when appropriate.y=4x−3𝑦=4𝑥−3y=4x+2𝑦=4𝑥+2Solution:

To solve the system of linear equations using the graphing method, follow these steps:

Step 1: Graph the first equation on a coordinate plane. The equation y = 4x - 3 is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. So, the slope is 4 and the y-intercept is -3. Start by plotting the y-intercept (0, -3) on the graph. Then, from this point, move up 4 units and to the right 1 unit to plot the next point. Draw a line through these points to represent the equation.

Step 2: Repeat the process for the second equation, y = 4x + 2. The slope is again 4, but this time the y-intercept is 2. Plot the y-intercept (0, 2) and then move up 4 units and to the right 1 unit to plot the next point. Draw a line through these points.

Step 3: Look for the point where the two lines intersect. This point is the solution to the system of equations.

However, in this case, you will notice that the two lines are parallel and do not intersect. This is because they have the same slope but different y-intercepts. Therefore, there is no solution to this system of equations.