Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair. x + 3y = 9 y = x – 5

Answer 1

substitute y for x-5 getting x+3(x-5)=9
use distributive axiom getting x+3x-15=9
combine like terms getting 4x-15=9
add 15 to both sides getting 4x=24
divide by 4 getting: x=6
substitute x into y=x-5 getting y=6-5
combine like terms: y=1 x=6. that’s your answer.

Answer 2

The order pair solution is (6,1)

Explanation:

we need to solve system of equation using substitution method

The given system of equation are:

`x+3y = 9` ...........(1)

`y = x-5` ..........(2)

Isolate the equation (1) , in the term of x

By subtracting 3y both the sides,

`x+3y -3y = 9-3y`

`x = 9-3y`

Noe, put the value of x in equation (2)

`y = x-5`

`y = ( 9-3y)-5`

simplify the above

`y = 4-3y`

Add both the sides by 3y,

`y +3y= 4`

`4y= 4`

divide both the sides by 4, in above expression

`y = 1`

Now, put the value of y in equation (1)

`x+3y = 9`

`x+3(1) = 9`

subtract both the sides by 3,

`x= 9-3`

`x= 6`

Therefore, the order pair solution is (6,1)