There are 2 equations given and two unknown things in the form of x and y that needs to be found. 15x + 12y = 292.50 15x = 292.50 - 12 y x = (292.5 - 12y)/15 Now we have to replace the value of x that has been deduced into the second equation. Then 45x + 10y = 747.50 45[(292.5 - 12y)/15] + 10y = 747.50 3(292.5 - 12y) + 10y = 747.5 877.5 - 36y + 10y = 747.5 -26y = -130 y = 5 Now we will be replacing the value of y in any of the given equations to find the value of x 15x = 12y = 292.5 15x + 12(5) = 292.5 15x + 60 = 292.5 15x = 292.5 - 60 15x = 232.5 x = 232.5/15 = 15.5
