Question

solve:3x+2y=29;5x-y=18 solve elimination method​

Answer 1

Answer:

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Step-by-step explanation:

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Firstly, lets note down the equations:-

3x + 2y = 29 ...(1)

5x - y = 18 ...(2)

Multiply the second equation by two:-

2(5x - y) = 2(18)

10x - 2y = 36 ...(3)

Add equation (1) and (3):-

(3x + 2y) + (10x - 2y) = 29 + 36

3x + 2y + 10x - 2y = 65

Add like terms:-

13x = 65

x = \frac{65}{13}

13

65

x = 5

Now, substitute the value of 'x' in any of the equation:-

5(5) - y = 18

25 - y = 18

Transposing:-

- y = -7

y = 7

So, the value of x and y are 5 and 7 respectively !

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