Change to slope-intercept form, y= mx + b
Equation A:
2x + y = 8
y = -2x + 8
m = -2
y-intercept = 8
x-intercept = 4
Equation B:
4x + 3y = 18
3y = -4x + 18
3y/3 = - [tex] \frac{4}{3} [/tex]x + 18/3
y = [tex] -\frac{4}{3} [/tex]x + 6
m = - [tex] \frac{4}{3} [/tex]
y-intercept = 6
x-intercept = 18/4 or 4[tex] \frac{1}{2} [/tex]
Graph the equations using the slopes, y-intercept and x-intercept.
The solution (x,y) is the intersection point of the graphs.
Solution (x,y) = (3, 2)
x = 3
y = 2
To check:
Equation A:
2x + y = 8
2(3) + 2 = 8
6 + 2 = 8
8 = 8
Equation B:
4x + 3y = 18
4(3) + 3(2) = 18
12 + 6 = 18
18 = 18
Please see attached graph.
