Question

Y=x+4 2x+3y=17 SOLVE USING SUBSITUTION Show work

Answer 1

Answer:

( 1, 5 )

x = 1

y = 1

Step-by-step explanation:

y = x + 4

2x + 3y = 17

Since they gave us the value of "y" we can use that and substitute it into the equation to find what "x" is.

2x + 3y = 17

2x + 3 ( x + 4 ) = 17

Distributive Property

2x + 3 * x + 3 * 4 = 17

2x + 3x + 12 = 17

Combine Like Terms ( 2x and 3x)

5x + 12 = 17

Subtract 12 on both sides of the equation

5x + 12 - 12 = 17 - 12

5x = 5

Divide by 5 on both sides to isolate the variable

5x/5 = 5/5

x = 1

Now that we have what "x" is, we can substitute that into one of the equations to get the value of "y"

y = x + 4

y = 1 + 4

y = 5

x = 1

y = 5

( x, y )

( 1, 5 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!