Download Linear Combination Worksheet #2

Name: ________
Date: _____
Solving System of Equations
Solve each system of equations using elimination. Write all solutions in the
blanks. Show your work!
1.
2x – 3y = 20
11x + 2y = -1
2. 2x + 2y = -2
3x – 2y = 12
3. 6a + 5b = 4
6a - 7b = -20
4. 2c - 3d = 12
4c + 3d = 24
5. 6x + 5y = -10
4x – 7y = -25
6. s + 2t = -7
3s – 8t = 7
7. x - 3y = 7
3x + 3y = 13
8. a + 5b = 8
3a + 7b = 0
1
Name: ________
Date: _____
Solve by the graphing method.
9. y – 3x = -1
y=x+3
10. y + 4x = 4
1
y=  x-3
2
Solve by substitution.
11. m – 4n = -5
m = 2n – 4
12. a - 2b = 1
3a - b = -4
2
Name: ________
Date: _____
13. The sum of 2 numbers is 25. Their difference is 7. Find the numbers.
Let:
x = the first number
y = the second number
 Write an equation for the sum of the two numbers.

Write an equation for the difference of the two numbers.
Solve the system of equations:
14. Solve using any method. Bob has $24 more than twice as much as
Susie. Together they have $150. How much money does each have?
Let:
B = the amount of money for Bob
S = the amount of money for Susie
 Write an equation for the total amount of money for Bob.

Write and equation for the total amount of money for Bob and
Susie.
Solve the system of equation:
3
Name: ________
Date: _____
Bonus! 5 points.
15. Write a system of equations and solve. The talent show ticket
committee sold a total of 805 tickets in advance. The student tickets
cost $3 each and the adult tickets cost $4 each. If the total amount
of money earned is $2970, how many of each type of ticket were
sold?
Let:
s = the # of student tickets
a = the # of adult tickets
3s = the total amount of money earned from student tickets
4a = the total amount of money earned from adult tickets

Write an equation for the total number of tickets sold.

Write an equation for the total amount of money earned.
Solve the system of equations:
4