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The solution to the simultaneous equations 3x + 5y = 4, 4x +...

The solution to the simultaneous equations 3x + 5y = 4, 4x + 3y = 5 is

A.

( $\frac{-13}{11}, \frac{1}{11}$ )

B.

( $\frac{13}{11}, \frac{1}{11}$ )

C.

( $\frac{13}{11}, \frac{-1}{11}$ )

D.

( $\frac{11}{13}, \frac{1}{11}$ )

E.

(13, 11)

View answer & explanation

Correct answer is B

3x + 5y = 4, 4x + 3y = 5

3x + 5y = 4 x 4

4x + 3y = 5 x 3

12x + 20y = 16.....(i)

12x + 9y = 15.......(ii)

subtract eqn.(ii) from eqn.(i)

11y = 1

y = $\frac{1}{11}$

12x + 20 x $\frac{1}{11}$ = 16

12x = $\frac{156}{11}$

x = $\frac{13}{11}$

= $\frac{13}{11}, \frac{1}{11}$

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