Question

3x-5y=18 6×+y=3 find the substitution method ​

Answer 1

Answer:

☑ Solving the equations by substitution method

3x - 5y = 18 ..............(1)

6x + y = 3 ................(2)

from the equation (1) the value of x we can write it as,

⟹ 3x - 5y = 18

⟹ 3x = 18 + 5y

x = (18 + 5y )/3 , put this value in equation (2)

⟹ 6[(18 + 5y) / 3]+ y = 3

⟹ 2(18 + 5y) + y = 3

⟹ 36 + 10y + y = 3

11y = -33

$\boxed{\textbf{\large{y = -3}}}$

put the value of y = -3 in equation (1) we get,

3x - 5y = 18

⟹ 3x - 5(-3) = 18

⟹ 3x + 15 = 18

⟹ x =( 18 - 15)/ 3

$\boxed{\textbf{\large{x = 1}}}$

The values of x and y are

x = 1, y= -3

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