Answer:
x = 23/5 and y = 7/20
Explanation:
2x + 8y = 12 and 3x - 8y = 11 are two given equations
Now,
Step 1:
2x + 8y = 12 ...(1)
3x - 8y = 11 ...(2)
Step 2:
From equation (2) we get the value of x
i.e.,
3x - 8y = 11
3x = 8y + 11
x = 8y + 11/3
Step 3:
Now,
Put the value of x = 8y + 11/3 in equation (1) we get,
i.e.,
2x + 8y = 12
2(8y + 11/3) + 8y = 12
16y + 22/3 + 8y = 12
16y + 22 + 8y(3)/3 = 12
16y + 22 + 24y/3 = 12
16y + 24y + 22 = 12 * 3
40y = 36 - 22
40y = 14
y = 14/40
y = 7/20
Step 4:
Now,
Substitute the value of y = 7/20 in equation (2) we get,
i.e.,
3x - 8y = 11
3x - 8(7/20) = 11
3x - 56/20 = 11
3x - 14/5 = 11
3x = 11 + 14/5
3x = 11 * 5 + 14/5
3x = 55 + 14/5
3x = 69/5
x = 69/3 * 5
x = 23/5