Question

2x+ 3y =13
4x-y=-2
solve the simultaneous equations

Answer 1

Answer: X = 1/2 and Y = 4

Step-by-step explanation: Given: 2x + 3y = 13 and 4x - y = -2

solving using elimination method

2x + 3y = 13 ( X 1)

4x - y = -2 ( X 3)

Therefore:

2x + 3y = 13

( + ) 12x - 3y = -6

Adding: 14x = 7

x = 7/14

x = 1/2

Substituting into 4x - y = -2

4(1/2) - y = -2

2 - y = -2

-y = -2 - 2

-y = - 4

y = 4

Answer 2

(
`(1)/(2)`, 4 )

Explanation:

2x + 3y = 13 → (1)

4x - y = - 2 → (2)

multiplying (2) by 3 and adding to (1) will eliminate y

12x - 3y = - 6 → (3)

add (1) and (3) term by term to eliminate y

14x + 0 = 7

14x = 7 ( divide both sides by 14 )

x =
`(7)/(14)` =
`(1)/(2)`

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

substituting into (1)

2(
`(1)/(2)` ) + 3y = 13

1 + 3y = 13 ( subtract 1 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

solution is (
`(1)/(2)`, 4 )