Topic 5 Review of Systems (19 questions) -- Question 13

Question

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−8y=46
x=3y+

Answer 1

3x-8y = 46

x = 3y substitute 2nd equation into 1st to get

3(3y)-8y = 46 expand and combine like terms

9y -8y = 46

y = 46 substitute back into 2nd original equation above

x =3y = 3(46) = 138

(x,y) = (138, 46)