Given system of equation:
8x+6y=48 Equation 1
2x-3y=-6 Equation 2
First find the x and y-intercepts for each equation.
8x+6y=48
When x=0
8(0)+6y=48
6y=48
y=8 Ordered pair is (0,8)
When y=0
8x+6(0)=48
8x=48
x=6 Ordered pair is (6,0)
Now for equation 2.
2x-3y=-6
When x=0
2(0)-3y=-6
-3y=-6
y=2 Ordered pair is (0,2)
When y=0
2x-3(0)=-6
2x=-6
x=-3 Ordered pair is (-3,0)
Now plot these points on the graph, The line intersects each other at (3,4).
Solution is (3,4).
The graph is attached.