Question

x/2+y=0.8 and x+y/2=10

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Answer 1

Answer:

x = 0.8

y = 0.4

Step-by-step explanation:

I think you meant the question to be like this:

$\frac{x}{2} + y = 0.8 \: \: and \: \: x + \frac{y}{2} = 10$

If that is the question, we get the answer by:-

$\frac{x}{2} + y = 0.8 \\ \: \\ \frac{x}{2} + \frac{y}{1} = \frac{x}{2} + \frac{2y}{2} \\ \\ \frac{x + 2y}{2} = 0.8 \\ \\ x + 2y = 0.8 \times 2 = 1.6$

x + 2y = 1.6 _____(1)

$x + \frac{y}{2} = 10 \\ \\ \frac{x}{1} + \frac{y}{2} = \frac{2x}{2} + \frac{y}{2} = 10 \\ \\ \frac{2x + y}{2} = 10 \\ \\ 2x + y = 10 \times 2 = 20$

2x + y = 20 ____(2)

(1) + (2) = (x + 2y) + (2x + y) = 1.6 + 20

= 3x + 3y = 3.6

x + y = 3.6 ÷ 3 = 1.2 ____(3)

(1) - (3) = (x + 2y) - (x + y) = 1.6 - 1.2

= x + 2y - x - y = 0.4

y = 0.4

Substituting the value of y in (3) we get,

x + 0.4 = 1.2

So, x = 1.2 - 0.4 = 0.8

We got x = 0.8 and y = 0.4

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