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1. Solve the system of equations algebraically.

-2x + 5y = -2
x - 3y = 3
2. Solve the system of equations algebraically.
5x + 3y = 30
3x + 3y = 18
3. Find the solution to the system of equations algebraically:
2x - 2y + z = -15
6x - 3y- z = -19
3x - y - z = -6

User Kika
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2 Answers

6 votes
1. We can double the second equation to get: 2x - 6y = 6; and then add the equations together to get -y = 4, y = -4. We plug y in to get x - 3(-4) = 3, x = 15. The answer would be (15, -4)
2. We can subtract the two equations to eliminate y and get 2x = 12, x = 6. We can plug x in to the second equation to get 9 + 3y = 18, and 3y = 9, so y = 3. The answer would be (6, 3)
3. We add the first two equations to get 8x - 5y = -34, and then subtract the last two equations to get 3x - 2y = -13. We multiply the first by 2, and the second by 5, and then add them together. We get x = -3. We plug the x-value into the second equation to get -9 - 2y = -13, so y = 2. We plug both values into the third equation to get -9 - 2 - z = -6. -z = 5, z = -5.
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Hope this helps!
==jding713==
User Leonyx
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3 votes
Hello,
Please, see the attached files.
Thanks.
1. Solve the system of equations algebraically. -2x + 5y = -2 x - 3y = 3 2. Solve-example-1
1. Solve the system of equations algebraically. -2x + 5y = -2 x - 3y = 3 2. Solve-example-2
User Mathe Eliel
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6.5k points