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Mathematics, 10.03.2021 06:30 allyyzz

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1. 2x-3y=3 and x+4y=-2 one solution? Infinitely many solutions? Or no solution?

Solve each equation using substitution

2. X=y+2 and 2y=x-1
3. Y=3x+5 and y=x+3
4. 3x=y+2 and -2y=1-3x
5. X= y/2 -1 and 6x+5y=69

Solve each using elimination

6. 3x+4y=31 and 2x-4y=-6
7. 3x+5y=54 and 6x+4y=72
8. -14x+9y=46 and 14x-9y=102
9. 4x+3y=16 and 7x -5y=69

Word problems:

10. John paid $34 for two algebra and three geometry books. He paid $36 for three algebra and two geometry books. What is the cost of each book?

11. The sum of two numbers is 14. If one of the numbers is doubled, the sum will become 22. What are the numbers?

12. Peter invested $450 in insurance and stocks. He put $50 more in insurance than stocks. How much did he invest in each?

13. The measure of one of two supplementary angles is three times the measure of the other angle. What are the measure of the angles?

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