Question

(15x)+(12y)=292.50
(45x)+(10y)=747.50

Find x and y for both equations.
x is the same in both equations
y is the same in both equations

Answer 1

(15x)+(12y)=292.50...................(1)
(45x)+(10y)=747.50....................(2)

.........................
let us use elimination method here
divide the first equa. with 45
and the second with 15.
so we get
675x+540y=13162.5
675x+150y=11212.5
.......................................
690y=24375
y=24375/690
y=35.3
substitute the value of y in equ. 1
=> (15x)+(12y)=292.50
=> 15x+12(35.3)=292.50
=> 15x +387.6=292.50
=> 15x=387.6-292.50
=> 15x =95.1
=> x=95.1/15
=> x=6.34