Solve 2x + y = 23, 4x – y = 19. Hence, find the values of x – 3y and 5y – 2x.
Solution:
It is given that
2x + y = 23 …. (1)
4x – y = 19 ….. (2)
Adding both the equations
6x = 42
x = 42/6 = 7
Substitute the value of x in equation (1)
2 × 7 + y = 23
By further calculation
14 + y = 23
So we get
y = 23 – 14 = 9
Therefore, x = 7 and y = 9.
x – 3y = 7 – 3 × 9 = 7 – 27 = – 20
5y – 2x = 5 × 9 – 2 × 7 = 45 – 14 = 31
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