Solve the system of linear equations using multiplication. - 3x + 2y 5x - 3y = 17 The solution is

Required -

Given:

5x - 3y = 2

3x - 2y = 4

To Find:

The values of x and y.

Solution:

We have,

→ 5x - 3y = 2 – (i)  

→ 3x - 2y = 4 – (ii)  

Multiplying equation (i) by 2, we get,  

→ 10x - 6y = 4 – (iii)

Multiplying equation (ii) by 3, we get,  

→ 9x - 6y = 12 – (iv)

Subtracting (iii) from (iv), we get,  

→ -x = 8  

→ x = -8  

Now, from (i),

→ 5 × (-8) - 3y = 2

→ -40 - 2 = 3y

→ -42 = 3y

→ y = -14  

So,  

→ (x, y) = (-8, -14)

(x, y) = (-8, -14)

Step-by-step explanation:

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