Question

solve the following in simultaneous equations with the help of steps. x/7 + y/3 = 5,x/2 - y/9 = 6​

Answer 1

(14, 9 )

Explanation:

Given

`(x)/(7)` +
`(y)/(3)` = 5 ( multiply through by 21 to clear the fractions )

3x + 7y = 105 → (1)

`(x)/(2)` -
`(y)/(9)` = 6 ( multiply through by 18 to clear the fractions )

9x - 2y = 108 → (2)

Multiplying (1) by - 3 and adding to (2) eliminates the term in x

- 9x - 21y = - 315 → (3)

Add (2) and (3) term by term to eliminate x

- 23y = - 207 ( divide both sides by - 23 )

y = 9

Substitute y = 9 into either of the 2 equations and evaluate for x

Substituting into (1)

3x + 7(9) = 105

3x + 63 = 105 ( subtract 63 from both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Solution is (14, 9 )