Solve 2x + y = 35, 3x + 4y = 65. Hence, find the value of x/y.
Solution:
It is given that
2x + y = 35 …. (1)
3x + 4y = 65 ….. (2)
Now multiply equation (1) by 4
8x + 4y = 140 …. (3)
3x + 4y = 65 …. (4)
By subtracting both the equations
5x = 75
x = 75/5 = 15
Now substituting the value of x in equation (1)
8 × 15 + 4y = 140
By further calculation
120 + 4y = 140
4y = 140 – 120
So we get
4y = 20
y = 20/4 = 5
Here
x/y = 15/5 = 3
Therefore, x/y = 3.
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