Linear Combination Worksheet #2
Linear Combination Worksheet #2
Solve each system of equations using linear combination.
1. 2x – 3y = 20 2. 4x – 7y = -5
11x + 2y = -1 3x – 2y = -7
3. 4a + 15b = 10 4. 6c + 8d – 4 = 0
3a + 10b = 5 9c + 10d – 7 = 0
5. 6x + 5y + 10 = 0 6. s + 2t = -7
4x – 7y + 25 = 0 3s – 8t = 7
7. 2x + 3y = 12 8. a + 5b = 8
3x + 2y = 13 3a + 7b = 0
Solve by the graphing method.
9. y – 3x = -1
y = x + 3
10. x – 3y = -10
2x + y = 1
Solve by substitution.
11. m – 4n = -5 12. a - 2b = 1
m = 2n – 4 3a - b = -4
13. 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 receipts were $2970, how many of each type of ticket were sold?
Solve using linear combination.
14. a – 3b = 0 15. 3c + 5d = 20
a + 3b = 0 -2c + 5d = 20
16. The sum of 2 numbers is 25. Their difference is 7. Find the numbers.
17. Solve using any method. Bob has $24 more than twice as much as Susie. Together they have $150. How much money does each have?
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