Question

Solve this linear system by graphing
x-y=6
2x=12+2y

Answer 1

To solve the linear system by graphing, convert the equations to slope-intercept form, plot the lines, and find the point of intersection.

Step-by-step explanation:

To solve the given linear system by graphing, we need to graph both equations on the same coordinate plane and find the point of intersection.

Step 1: Convert both equations into slope-intercept form, y = mx + b.

Step 2: Plot the y-intercepts (b values) of both equations and use the slopes (m values) to draw the lines.

Step 3: The point where the lines intersect is the solution to the system of equations. In this case, the solution is x = 6 and y = 0.

Answer 2

You need to isolate the variables. For the first equation add x to both sides, which leaves you with y.

For the second equation, divide each side by 2 leaving you with
x= 6+y. Subtract y from each side. Subtract x from both sides. Now you have y= x + 6.

Now graph those equations.