Question

Solve the system of linear equations in two variables by elimination or substitution.

4x+ 3y=2

2x-3y=1

Answer 1

(
`(1)/(2)`, 0 )

Explanation:

Given the 2 equations

4x + 3y = 2 → (1)

2x - 3y = 1 → (2)

Adding (1) and (2) term by term will eliminate the y- term, that is

6x = 3 ( divide both sides by 6 )

x =
`(3)/(6)` =
`(1)/(2)`

Substitute x =
`(1)/(2)` into either of the 2 equations and evaluate for y

Substituting into (1)

4(
`(1)/(2)` ) + 3y = 2

2 + 3y = 2 ( subtract 2 from both sides )

3y = 0 ⇒ y = 0

Solution is (
`(1)/(2)`, 0 )