Question

2/5x - 1/5y = 98

2/7x - 1/14y = 55
If the ordered pair (x, y) satisfies the system of
equations shown above, what is the value of x?

Answer 1

x = 140

Explanation:

Given the equations

`(2)/(5)` x -
`(1)/(5)` y = 98 ( multiply through by 5 to clear the fractions )

2x - y = 490 → (1)

`(2)/(7)` x -
`(1)/(14)` y = 55 ( multiply through by 14 to clear the fractions )

4x - y = 770 → (2)

Subtract (1) from (2) term by term to eliminate y

2x + 0 = 280

2x = 280 ( divide both sides by 2 )

x = 140