A person bought clothes worth of $71 in a store. He wants to pay cash at the counter with $2 and $5 bills he has. Model this problem as a linear diophantine equation and find out how many different ways he can pay

Q: if you all you have are dimes and quarters, in how many ways you can pay a $7 bill by using linear…

A: In diophantine equation, only integers are used. A dime is worth 10 cents and a quarter is worth 25…

Q: Which of the following equations is nonlinear? y = x^2 y = 4 - x y = 2x + 3 y = 5x - 8

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Q: Determine the value of k so that the following linear equations have no solution: (3k+1)x+3y-2=0…

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Q: 2x+ 3y= 4 -2y= 10 – 5x

A: Explanation: Given that,                              By using substitution method,  We will solve…

Q: Solve the following pair of linear equations by the substitution method. The larger of two…

A: given:

Q: Solve the system of linear equation.0.2x − 0.1y = 0.070.4x − 0.5y = −0.01

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Q: Solve the following system of linear equations. If there is no solution, write DNE. If there are…

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Q: using the whole numbers 1 to 30, at most time each , fill in the boxes to create two linear…

A: Let the variable of the system be x & yThe solution of the system is given to be (3,2)∴ 1001xy =…

Q: Consider the following linear equations -4x + 2y + 5z = -3 -4x + (14 – k)y + 4z -1 -4x + 2y + (6 -…

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Q: Form the pair of linear equations in the following problems, and find their solutions (if they…

A: Given:The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the…

Q: Form the pair of linear equations in the following problems, and find their solutions (if they…

A: given Form the pair of linear equations in the following problems, and find their solutions

Q: Form the pair of linear equations in the following problems, and find their solutions (if they…

A: Let fixed charge= Rs x and the charge for each extra day = Rs y

Q: An investor has $11,000 invested in two funds. The first returns 6% per annum and the second returns…

A: Here I am attaching image so that you understand each and every step.

Q: Solve the linear equations using Gauss-Jordan X- X + 3x, + 2x, = 15 %3D -A + 5x3 - 5xy-2x, = -35 %3D…

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Q: 10х + 6у + 5z –7 10r 1 (16

A: Linear equation: - A equation is outlined as an associate equation with the most degree of one. this…

Q: (1) A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $67. A…

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Q: Find the solutions of the following homogenous linear equations with the use of equation 4.1.2 D 1.…

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Q: Form the pair of linear equations in the following problems and find their solutions (if they exist)…

A: Let x km/h be the speed of the car that stars from A and y km/h be the speed of the car that stars…

Q: Determine the value of k so that the following linear equations have no solution: (3k+1)x+3y-2=0…

A:

Q: Form the pair of linear equations in the following problems and find their solutions (if they exist)…

A: Let the fraction is x/y

Q: The given equation is either linear or equivalent to a linear equation. Solve the equation.

A: Given :          The equation is 23y + 12(y - 3) = y + 14   To solve the above equation.

Q: An airplane flying into a headwind travels the 1500-mile flying distance between two cities in 3…

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Q: Form the pair of linear equations in the following problems and find their solutions (if they exist)…

A: Let x be number of correct answers and y be the number of wrong answers.

Q: One office rents 15 foot trucks for a one day fee of $40.55 plus $0.23 per mile. Another office…

A: Given,         One office rents 15-foot trucks for a one-day fee of $40.55 plus $0.23 per mile.…

Q: Solve the following system of linear equations by graphing: 8x +2y = 30 - 4x + 2y = -6 Answer E…

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Q: The number of states that joined the United States between 1776 and 1849 is twice the number of…

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Q: Which of the following equations crosses the origin?

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Q: Use a system of linear equations to solve:A hotel has 200 rooms. Those with kitchen facilities rent…

A: Total rooms=200 Total revenue=$17000

Q: Solve the given linear equation.

A: Given expression is x3-1=53x+7

Q: The cost, revenue, and profit equations, each given in dollars, of a company manufacturing scooters…

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Q: Form the pair of linear equations in the following problems and find their solutions (if they exist)…

A: Let the fixed charges = Rs x and the cost of food per day= Rs y

Q: Consider the following linear equations = -6 -3x + (25 – k)y + 7z = -4 -3x + 5y + 8z -3x + 5y + (10…

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Q: Answer the given non-linear equation and show your solution by substitution: 9x^2 + y^2 = 9 y = 3x…

A: The given system of equation is: 9x2+y2=9                              .....  (1)y=3x-3…

Q: Solve the following system of linear equations. If there is no solution, write DNE. If there are…

A: From the given system of linear equations We can rewrite the equations as follows.…

Q: 2. Which of the following is a linear equation in two variables? B. 4x2 - 9 = 3 A. 4xy + 1 -0 C. 2x…

A: Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a…

Q: 2x - y = -5                                   4x + y = 11

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Q: Solve the following pair of linear equations by the substitution method. 0.2x + 0.3y = 1.30.4x +…

A: The given set of equations are

Q: . Solve the following system of linear equations 2t 3x + + 4y 8y + 5z + 3u - 9t + - -1 -

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Q: Form the pair of linear equations in the following problems, and find their solutions (if they…

A: Let Meena got x Rs 50 notes and y Rs 100 notes.Meena got 25 notes in all. So, x+y=25

Q: What is the solution for the set of linear equations below ?

A: Given ,  We have to find solution for the set of linear equations

Q: large ice floe is floating at a speed of 5 kilometers per hour. A polar bear leaves the ice floe and…

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Q: Solve the following pair of linear equations by the substitution method. 3x – y = 39x − 3y = 9

A: Given:

Q: Determine the value of k so that the following linear equations have no solution: (3k+1)x+3y-2=0…

A:

Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

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Q: ax + by = c using the indicated variable names. Do not try to solve the resulting equation. HINT…

A: Given, We have to write the a linear equation in x and y Given, no. of soccer fans = x no. of…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.