Question

7x+2y=57x+2y=5 how do you do it

Answer 1

The value of $x=\frac{26}{3}, \ y=\frac{-11}{6}$.

Solution:

Given equations:

7x + 2y = 57 ---------- (1)

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

Subtract 2y from both sides of the equation (2).

x = 5 – 2y ---------- (3)

Substitute equation (3) in equation (1).

7(5 – 2y) + 2y = 57

35 – 14y + 2y = 57

35 – 12y = 57

Subtract 35 from both sides of the equation.

–12y = 22

Divide by 12 on both sides.

$y=\frac{-11}{6}$

Substitute y value in equation (3).

$x=5-2(\frac{-11}{6} )$

$x=5+\frac{11}{3}$

$x=\frac{26}{3}$

Hence the value of $x=\frac{26}{3}, \ y=\frac{-11}{6}$.