I need to solve the following for the 2 variables and plot on a grid line. This is for a linear programming model and I can not figure out the algebra. Can do it in solver, but not on paper and I need all work shown.
42x + 30Y = 180
3 C + 8 B = 20
Please show all work.
42X + 30Y = 180
Solve for x
Get the X term alone: 42X = 180 - 30Y
Get the X alone: X = (180 - 30Y)÷42
Solve for y
Get the y term alone: 30Y = 180 - 42x
Get the y alone: y = (180 - 42x)÷30
3c + 8b = 20
Solve for c
Get the c term alone: 3c = 20 - 8b
Get the c alone: c = ...
This shows two examples of how to solve two-variable equations for each variable, and how to choose points to plot graphs.