Question

2.By equating co-efficients of variables, solve the following simultaneous equation: 3 + 5y = 13 : 2x + } step by step ; = 19
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Answer 1

Answer:

Correct option is B

$\frac{x}{3} + 5y = 13$

$2x + \frac{y}{2} = 19$

Multiplying equation (i) by 3 and equation (ii) by 2. we get,

x+15y=39

4x+y=38

To make the coefficients of x equal multiplying equation (iii) by 4. we get ,

4x+60y=156

Subtract equation (iii) from equation (iv). we get,

4x+60y−(4x+y)=156−38

59y=118⇒y=2

Substitute y=2 in equation (iii). we get,

x+15(2)=39⇒x=9

∴x= 9

y= 2