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Componendo and Dividendo

If 2x+3y=19 a...

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If 2x+3y=19 and 5x+4y=37 then find value of x+y

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\frac{2 x - 3 y}{5 x - 4 y} = \frac{3}{2}

, then the value of

\frac{7 x + 4 y}{7 x - 4 y}

If $2 x + y = 23$ and $4 x - y = 19$ ; find the values of $x - 3 y$ and $5 y - 2 x .$

Q. Solve the simultaneous equations using the convergent iterations:

5 x

y

2 z

19

2 x

3 y

8 z

39

x

4 y

2 z

- 2

2 x + y = - 4

3 y = 5 x - 1

.Find value of |x| and y.

x

y

2 x - 3 y = 8

5 x

- 7 y = 19

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