Question

For the equation 3x − 2𝑦 = 17, find the value of x when y = −1 and find the value of y when x = 3

Answer 1

Substituting y = – 1 in 3x – 2y = 17, we get

3x – 2(–1) = 17

∴ 3x + 2 = 17

∴ 3x = 17 – 2

∴ 3x = 15

∴ x = `15/3` = 5

Substituting x = 3 in 3x – 2y = 17, we get

3(3) – 2y = 17

∴ 9 – 2y = 17

∴ 2y = 9 – 17

∴ 2y = – 8

∴ y = `(-8)/2` = – 4

∴ The value of x is 5 when y = −1 and the value of y is – 4 when x = 3.