Systems of Equations (43 problems)

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Problem #1: 2x2 System of Equations

Solve the following system

x-2y = 5
2x=4y+10

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Problem #2: 2x2 System of Equations

Find the solutions to the following sets of equations:

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Problem #3: 2x2 System of Equations

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Problem #4: 2x2 System of Equations

Solve the following systems by the substitution method:

4x + y = 7
3x – y = 0

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Problem #5: 2x2 System of Equations

The base of an isosceles triangle is 8 in. less than the length of the equal sides. If the perimeter of the triangle is 28 in., find the length of each of the sides.

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Problem #6: 2x2 System of Equations

Solve by substitution. Determine whether the equations are independent, dependent, or inconsistent. 2x – y = 3 and 2y = 4x – 6

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Problem #7: 2x2 System of Equations

Solve the following system of equations any method: 2x + 4y = 5
3x + 6y = 6

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Problem #8: 2x2 System of Equations

Solve the system by substitution.

x + 4y = –4

3x – 3y = –12

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Problem #9: 2x2 System of Equations

Solve the following system

y - 2x = -5
4x-2y-6=0

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Problem #10: 2x2 System of Equations

You invested a total of $3,500 in two stocks that paid 6% and 7% annual interest. At the end of the year, the total interest from these investments was $222.75. How much was invested at 7%?

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Problem #11: 2x2 System of Equations

Solve the following systems by the addition method:

4x – 5y = 20
y = 4/5x – 4

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Problem #12: 2x2 System of Equations

Solve the following system by graphing:

x – 2y = -6
y = -3x/2 – 1

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Problem #13: 2x2 System of Equations

Solve the following systems of inequalities: x – y > 1
x - y < 3

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