Question

solve 3x +2y=29; 5x - y = 18

Answer 1

Hey dear here is your answer!!!!!

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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 = $\frac{65}{13}$

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 !

❣️⭐ Hope it helps you dear...⭐⭐❣️❣️

Answer 2

Answer:

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}1365

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 !