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

Answer:

The order pair solution is (6,1)

Step-by-step 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)