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: Form the pair of linear equations in the following problems, and find their solutions graphically.…

A: To determine the number of boys and girls that took part in the quiz.

Q: Solve the given linear equation. 1 - x = x + 4

A: Our Aim is to solve the linear equation given below:-1-x=x+4 -(i)

Q: Which of the following equations corresponds to the diagram below?

A:

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: y = -x+8 5 y = 2"

A: Given : The two linear pair of equations are : y=-x+8                             …1 y=52x-6…

Q: Solve the following system of equations. 2x = 3y – 15 1.2y = 0.8x + 6

A: Given the system of equations as 2x=3y-151.2y=0.8x+6

Q: Solve the following equations: 3. y" - 2y' + y = x² – 1

A:

Q: Solve the following system of equations. 3a + 2y ? 14 5x2 - 5y2 15

A:

Q: Solve the following system of equations graphically on the set of axes below. y = x+8 Y = 37 -4

A: The given system of equations is: y=x+8y=-3x-4

Q: Solve the following system of equations graphically on the set of axes below. y = 2x - 3 x + y = -6

A: Given y=2x-3 x+y=-6

Q: 5. y' - 3y = 6 y = -2 + Ce3x

A: The First Order Linear Equation, y'-3y=6.

Q: Of your customer base consisting of paid up customers (x) and customers who still owe money (y) .75%…

A: We will find the linear eq. as following.

Q: Obtain the solution of the following equations. 1. (1 – x)y' = y2

A:

Q: Solve the following system of equations. 4x+ 5y = -4 4x+ 3y = 12

A:

Q: Solve the following pair of linear equations by the substitution method.   Five years hence, the age…

A:

Q: Solve the following system of equations algebraically: y = x ² – 15x + 26 y = -3x – 6 |

A: Our Aim is to solve the system of equations algebraically given below:-y=x2-15x+26 -(1)y=-3x-6 -(2)…

Q: Consider the system of equations 8x + 6y = 1 10x - 6y = 5 Solve for y to the nearest hundredth

A: Given: system of equations 8x + 6y = 1 10x - 6y = 5 To find the value of y

Q: 1 6+5 3. y = - -5

A: System of equation is : y = 16x + 5 y = -32x - 5 To evaluate : Solution of system of equation.

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: Solve the following system of equations. 4x+5y 5 8x +5y = 25

A: Explanation of the answer is as follows

Q: Solve the following equation: y + (2/ry – x)y' = 0.

A:

Q: Which of the following pairs of equations will give. an infinite number of solutions? x-2y = 1 A x+…

A:

Q: Solve the given linear equation. -x + 3 = 4x

A: Given linear equation:                                              -x+3=4x   We need to solve it…

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

A:

Q: What do the two equations represent?

A: The two equations are as follows -  y-8 = 12(x+5)y-8 = -12(x+5)

Q: Form the pair of linear equations in the following problems, and find their solutions graphically. 5…

A: Given:

Q: *+2y = 4

A: For the given system of equations,

Q: Which of the following equations are linear? (a) + 2r = 10 (b) - 2x = 1 (c) x + 7 = 5 - 3x

A: To determine which equations are linear. We know that linear equation in one variable is an equation…

Q: Which of the following equations crosses the origin?

A:

Q: Solve the following system of equations algebraically: y = x + 7x – 38 y = 2x – 2

A: We have the following system of equations   y=x2+7x-38 ...............eq(i)y=2x-2…

Q: /Solve the following equation ?- 4t+ 6y = t³ +1 dt2

A:

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: Solve the following linear equations in two different ways ? 3a – 2b = 5 . (1) 5a – 2b = 11... (2) -

A: 1-Way

Q: Solve the given linear equations x-y=1 2x+y=8

A:

Q: Solve the following 3rd order equation: y'"+2y"-y'-2y=0

A: First find roots then general solution..

Q: Solve the following system of equations. 6x+5y = -5 3.x+5y = 10

A: We have to find

Q: Solve the following pair of linear equations by the substitution method. The coach of a cricket team…

A: Given:The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later, she buys 3 bats and 5…

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

A:

Q: Solve the following linear equation:

A:

Q: solve the following system of equations graphically on the set of axes y=x+4 and y=-1/2x-8

A:

Q: Question 19  for the linear equation y= 15x + 3, if x increases by 1 point, how much will y…

A: The given regression equation is: y=15x+3. The regression equation is given for y (i.e., the…

Q: Formulate the following problems as a part of equations, and hence find theirsolutions.Ressa can row…

A: First of all, use the speed-distance formula to calculate speed of rowing in downstream and…

Q: Solve the following system of linear equations by substitution. S 3a + 4b = 14 a - 5b = 11

A: The given system is 3a+4b=14a-5b=11

Q: Solve the given linear equation.

A: The given linear equation  is 2+13x=-4 To solve for x

Q: Solve the following system of equations: 5x + 4y = 31     3x + y = 13

A: Given system of equations is 5x+4y =31 3x+y=13.

Q: Solve the following system of equations graphically on the set of axes be- y = 2x = 2 9=一+7

A: NOTE: Refresh your page if you can't see any equations. . to graph the line we need only two points…

Q: Solve the following system of equations. 4x+5y =-4 4x +3y = 12

A: Given : 4x+5y = -44x+3y = 12

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.