**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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