5.4 Solving Systems by Subtraction and substitution Question: 16

Question

5.4 Solving Systems by Subtraction and substitution Question: 16

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.

3x-5y=37

x=2y+!4

Question content area bottom

Part 1

The solution is _____________

enter your response here.

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

Answer 1

x = 2y + 14

3x -5y = 37

3(2y+14) -5y = 37

6y +42 -5y = 37

y = 37-42 = -5

x = 2(-5) +14 = 4

(x,y) = (4,-5)