Question

2/3x +1/2y= 10 ; 5/3x - 3/2y = 3 by simultaneous equation​

Answer 1

Answer:

x=9, y=8

Step-by-step explanation:

$\frac{2}{3}x+\frac{1}{2}y=10 -------> 1$

$\frac{5}{3}x-\frac{3}{2}y=3 -------->2$

Multiplying eqn.1 by 3 we get

$2x+\frac{3}{2}y=30 -------->3$

Solving eqn. 2 and 3 simultaneously we get,

$2x+\frac{5}{3}x=33\\\frac{11}{3}x=33\\x=\frac{33(3)}{11}\\ x=9$

Substituting value of x in eqn. 3 we get,

$2(9)+\frac{3}{2}y=30\\\frac{3}{2}y=12\\ y=\frac{12(2)}{3}\\ y=8$

Therefore, x=9, y=8

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