15x+12y=292.50, 45x+10y=747.50 solve for x and y

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