Question

solve 3x+2y=16 and y=x+3 using substitution. Find the ordered pair. Please show all the steps taken to find the answer.

Answer 1

Answer: (2,5)

Explanation:

3x + 2(x + 3) = 16 y = 2 + 3

3x + 2x + 6 = 16 y = 5

5x + 6 = 16

5x = 10

x = 10

Ordered Pair: (2,5)

Answer 2

(2,5)

or x=2, y=5

Explanation:

3x+2y=16

substitute y =x+3 every place you see a y

3x + 2(x+3) = 16

distribute

3x + 2x +6 = 16

combine like terms

5x+6 = 16

subtract 6 from each side

5x+6 -6 =16-6

5x =10

divide by 5

5x/5 = 10/5

x = 2

now we need to find y

y = x+3

y = 2+3

y=5

(2,5)

or x=2, y=5