Question

Given the system of equations, what is the solution?

x + 3y = 5
x - 3y= -1
o {(-4,-3)
{(2,113
O {(-2, 3)

Answer 1

I hope that help

Answer

(2-3)

Answer 2

The solution for the given equations x + 3y = 5 and x - 3y = -1 are x=2 and y=1.

Explanation:

The given is,

`x+3y=5`......................................(1)

`x-3y=-1`....................................(2)

Step:1

By elimination method,

Subtracting Equations (1) and (2),

`x+3y=5`

`x-3y=-1`

( - )

(
`x-x` ) + (
`3y+3y` ) = (
`5 +1` )

`6y` = 6

`y` = 1

Step:2

Substitute the value of y in equation (1),

`x+3y=5`

`x` + ( 3 × 1 ) = 5

`x` = 5-3

`x` = 2

Step:3

Check for Solution,

Substitute the values of x and y in Eqn (1),

`x+3y=5`

2 + ( 3 × 1 ) = 5

5 = 5

Result:

The solution for the given equations x + 3y = 5 and x - 3y = -1 are x=2 and y=1, by elimination method.