5.4 Solving Systems by Subtraction and substitutiom Question: 17

Question

5.4 Solving Systems by Subtraction and substitutiom Question: 17

Multiple Representations  Find the solution of the system of equations by substitution. Use pencil and paper. Draw a picture using algebra tiles to show the substitution.

3g-17k=26

2g=6k+12

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Part 1

The solution is

enter your response here. ___________

​(Simplify your answer. Type an ordered​ pair.)

Answer 1

2g = 6k + 12

divide both sides by 2

g = 3k +6

substitute into the 1st equation

3g -17k = 26

3(3k+6) -17k = 26

9k + 18 -17k = 26

-8k = 26-18 = 8

k = 8/-8 = -1

g = 3(-1)+6 = 3

k=-1, g=3

(g,k) = (3, -1)