Y=3x-5 and y=1/2x+5 Write your answer as an ordered pair, (x, y).

use the substitution method

y=3x-5

y = 1/2x+5

3x-5 = 1/2x+5

move - 5 to the other side

sign changes from - 5 to + 5

3x-5+5 = 1/2x+5+5

3x = 1/2x+10

move 1/2x to the other

3x-1/2x = 1/2x-1/12x+10

3x-1/2x = 10

find the common denominator for 3x

pretend that there is a 1 for 3x. 3x/1. The common denominator is 2. Mutiply the fraction by 2

3x (2) / 1 (2)

= 6x/2

6x/2-1/2x = 10

5/2x = 10

mutiply both sides by 2/5

5/2x (2/5) = 10 (2/5)

Cross out 5 and 10, divide by 5. Then becomes 2*2 = 4

x = 4

find y by using the substitution method

y=3x-5

y = 3 (4) - 5

y = 12-5

y = 7

Answer: (4,7)