Question

Find the value of x and y, (5x-3y, 3x-y) = (16, 12)

Answer 1

Answer:

x = 10 / 7 (or) 1.43 <rounded to 2 decimal place>

y = - 54 / 7 (or) -7.71 <rounded to 2 decimal place>

Step-by-step explanation:

Another way to rewrite (5x-3y, 3x-y) = (16, 12),

5x - 3y = 16 -- (1)

3x - y = 12 -- (2)

Rewriting (1), y = -5/3x - 16/3 -- (1)'

Substituting (1)' into (2),

3x + 5/3x + 16/3 = 12

14/3x = 20/3

x = 10 / 7 -- (3)

Substituting (3) into (2),

3(10/7) - y = 12

30/7 - y = 12

-y = 54 / 7

y = - 54/7-- (4)

Therefore,

x = 10 / 7 (or) 1.43 <rounded to 2 decimal place>

y = - 54 / 7 (or) -7.71 <rounded to 2 decimal place>

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