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!
