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Algebra 2
Name: ___________________________
Unit 4 WS 4-5: More Substitution and Elimination
Solve the following system of equations using the Substitution Method. Don’t forget
answers are Ordered Pairs!
Show all work! (you may use a calculator)
1.
3.
4x - 5y = 13
6x + 2y = 48
2x  y  1
8x  4 y  6
2.
4.
6 x  3 y  15
2 x  y   7
x  2 y  8
3x  4 y  24
Write a system of equations to represent each situation and then solve using SUBSTITUTION. Be
sure to LABEL your solutions!
5. An adult ticket for the Texas state fair costs $2 more than a child’s ticket. During the first hour of
the opening day, there were 378 adult tickets sold and 214 children’s tickets. The total sales were $2384.
Write a system of equations to model this problem and use Substitution to find the cost of an adult ticket
and child’s ticket?
Equation 1:_______________________________
Equation 2:_______________________________
Solution:_______________
Solve the following system of equations using the Elimination Method. Don’t forget answers are
Ordered Pairs! Show all work!
6.
8.
2x + 6y = 17
2x - 10y = 9
2 x  y  1
4 x  6 y  6
7.
9.
x - 2y = 2
2x - y = -5
7 x  5 y  12
3x  4 y  1
Write a system of equations to represent each situation and then solve using ELIMINATION. Be
sure to LABEL your solutions!
10. During one calendar year, a state trooper issued a total of 375 citations for both warnings and
speeding tickets combined. There were 37 more warnings than actual speeding tickets. Write a system
of equations and solve by Elimination to find the number of warnings and actual speeding tickets.
Equation 1:____________________________________
Equation 2:____________________________________
Solution: ______________________________