Answer:
x = 2
y = 13
Step-by-step explanation:
Given that:
32x+2y=90. ......... eq 1
19x+4y=90 ............ eq 2
Now multiply eq 1 with 2
We get:
64x + 4y = 180 ..... eq 3
Subtracting eq 2 from eq 3:
(64x + 4y) - (19x + 4y) = 180-90
Negative sign will inverse signs of next bracket:
64x + 4y - 19x - 4y = 90
Adding like terms:
45x = 90
Dividing both sides by 45:
x = 90/45
x = 2
Now putting value of x in eq 1:
32x + 2y = 90
32(2) + 2y =90
64 + 2y = 90
Subtracting 64 from both sides:
64-64 + 2y = 90 - 64
2y = 26
Dividing both sides by 2
y = 26/2
y = 13
So
x = 2
y = 13
