Download 11-3 SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTING Name

Algebra 2
SUBSTITUTION
Worksheet
Solve each system using the substitution method.
x3
1.
2.
2y  x  3
3.
x  2y  3
2x  4 y  6
4.
Name________________
Date_________________
y  x  12
x 1  y
3x  y  6
yx2
Define the variables, write an equation and solve.
5. Kate is three years older than Paula.
6. Find two numbers whose sum is
The sum of their ages is 25.
64 and whose difference is 42.
How old are each of the girls?
Use substitution to solve each system of equations. If the system does not have exactly one
solution, state whether it has no solutions or infinitely many solutions.
y  4x
x  4 y
y  x 1
7.
8.
9.
3 x  2 y  20
x y 5
x y 3
10.
13.
x  5y  4
3 x  15 y  1
4x  y  0
x  2 y  7
11.
14.
x  4y  8
2 x  5 y  29
x  5 y  10
2 x  10 y  20
12.
15.
1
y
2
2 x  4 y  21
x
x  6 y  18
2 x  3 y  24
16. An investor decides to buy two different types of stock in a company, Class-A and Class-B. The
investor buys a total of 800 shares worth $3200. One Class-A share costs $4.75 and one ClassB share costs $2.25. How many shares of each type did the investor buy?