Question

What is the solution to
{y=14x+3y=2x+10

Answer 1

The solution is (
`(7)/(12)` ,
`(67)/(6)`)

Explanation:

∵ y = 14x + 3 ⇒ (1)

∵ y = 2x + 10 ⇒ (2)

→ Equate equations (1) and (2) to find x

∵ 14x + 3 = 2x + 10

→ Subtract 2x from both sides

∴ 14x - 2x + 3 = 2x - 2x + 10

∴ 12x + 3 = 10

→ Subtract 3 from both sides

∴ 12x + 3 - 3 = 10 - 3

∴ 12x = 7

→ Divide both sides by 12 to find x

∵
`(12x)/(12)`
`(7)/(12)`

∴ x =
`(7)/(12)`

→ Substitute the value of x in equation (1) or (2) to find y

∵ y = 2(
`(7)/(12)`) + 10

∴ y =
`(7)/(6)` + 10

∴ y =
`(67)/(6)`

∴ The solution is (
`(7)/(12)` ,
`(67)/(6)`)