A student takes out two loans totaling $3900 to help pay for college expenses. One loan is at 3% interest, and the other is at 5.4%. Interest for both loan is compounded annually. a) If the first-year interest is $165, write a system of equations whose solution is the amount of each loan and label your variables.  b) Find the amount of each loan.

Q: Why do systems of equations sometimes have no solutions?

A:

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Q: 3. Solve each system of equations. Before solving the system, write the method that you used and…

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Q: Solve each system of linear equation by addition method. 5x+8y=1 2x+3y=2

A: Multiply first equation by 2 and second equation by -5.

Q: Use the method of undetermined coefficients to solve the given system

A: According to question, X' = 1-441X + 4t+9e6t-t+e6t

Q: ) Describe the three possible solutions to a system of equations.

A: Solution of system of equations

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Q: Solve the following system of equations. 4x-y = 3 and 2y-8x = -2

A:

Q: What is the solution of the system of equations graphed below?

A: Here the graph of two straight lines is given

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Q: Solve the following system of equations y = 2x – 8 y = -x + 4

A: Given that, y = 2x - 8                                                 ...........(1) y = - x +4…

Q: Why do systems of equations sometimes have no solution?

A: We have to use properties of system of linear equations to to find out solution

Q: 2. Solve each system of equations by graphing. 7. y=-x+4 y=-x-9 6- 10

A: Solve by graph calculate intercept

Q: Is (1, 10) a solution to this system of equations? y = x + 9 X = 1 yes no

A: Given system of equations is   y=X+9......(1) X=1.........(2)

Q: Find the solution to the following system of equations:

A:

Q: Find the solution to the system of equations.

A: The given graph is as follows:

Q: Solve the following system of equations. 6* ア=-5 y =-2 X = y=ロ

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Q: A collection of nickels and quarters has a total value of three dollars and contains 32 coins. Write…

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Q: Solve each system of equations by graphing. 1. y=x+3 y = -2x – 3 3 2 1 2 3 X -1 -5 -4 -3 -2 -10 -2…

A:

Q: How will your answers be written when solving a system of equations by any method

A: Explanation of the solution is given below...

Q: What is the solution of the system of equations shown?

A: The two lines intersecting at a point is the solution of the system of equation.

Q: Give three examples of systems of equations, one each that would be best solved using each of the…

A: We need to give three examples of the system of equations. One each that would be best solved using…

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Q: Find the solution to each system of equations graphically

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A: Given:

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Q: Solve each system of equation by elimin 1. 1) –4x – 2y= -12 4x + 8 y = -24

A:

Q: Solve the system of equation. 4x–2y=-18

A: 10. Given,        4x-2y=-183x+3y=9

Q: Solve the following system of equations. 1 = -5 1 2х- y = 0

A: Solution:

Q: y - 5 19. y = -10 4. 1/23/t

A: given that y=(1/2)x-1 and y=(-3/4)x-10 we need to solve these equations and find the values of x and…

Q: What is the first step in solving the following system of equations by substitution? y=2x x+y=9

A:

Q: 7. y=-2x+14 ソ: =D5x- -7

A: Given that y=-2x+14y=5x-7To find : value of x and y Solution :

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Q: Based on the system of equations to the right, what is the value of 4x+6y? 4x + 5y = -7 5x + 4y = -2

A:

Q: Find the solution to the system of equations. 4- N2x+2 ([?], [ ]) -4 -3 -2 /1 1 23 4 -1 -2 -3 -4

A: We can find the answer as below.

Q: Determine the solution of this system of linear equations

A: Given system of linear equation: To find: The relation between the variables x1 , x2 , x3 , x4.

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Q: How many solutions are there to the system of linear and quadratic functions graphed below?

A:

Q: How many solutions does the system of equations below have?

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A: Given: f(x) =  x2 -2x+3  f (x) = -6x

Q: What is the solution to the system of equations shown?

A: The given graph:

Q: Solve the following system of equations: -2x1 + 6x2 +t (1) X2 -2.x1 + 5x2 – 1 (2)

A: The solution is given as

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