important question In a school, 100 students have access to three software packages A, B and C.                                   28 did not use any software   ,   8 used only packages A                                                                             26 used only packages B      ,    7 used only packages C.         10 used all three packages.  ,    13 used both A and B. If twice as many students used package B as package A, write down a pair of                simultaneous equations in x and y.

Q: 10. Solve the following system of equations algebraically: x² = 3y – 8 x + y = 4

A:

Q: I am stuck on this equation and unsure how to solve. Here is the equation Solve by system of…

A: Given,

Q: 2) Solvethe system of equations (3x - y = 2 x² +y² = 4 %3D

A:

Q: . How many solutions x will the system Anxn x=b have, when |A] = 3 ?

A: Answer :-  We have to find number of solutions x will the system An×n x = b have , when |A| = 3

Q: Solve he following system of linear equations 22, + X3 = 4 %3D -3x, +4x -2x3 =-3 %3D (c) Cholesky's…

A: Given linear equations,2x1+x3=4-3x1+4x2-2x3=-3x1+7x2-5x3=6

Q: Solve the system of equations: 2х — 5у + 2 3D 2 - - x + y - z = - 3 -3y = 0

A:

Q: Joyce wants to mix granola and raisins together to make a snack for her class. Granola costs $2 per…

A: Let the amount of granola be denoted by g (in pounds)             amount of raisins be denoted by r…

Q: (3) An instructor wants to create a test that has true-false questions, multiple-choice questions,…

A:

Q: 14. State whether the system of equations is INCONSISTENT or has INFINITELY MANY SOLUTION 5x – 3y =…

A:

Q: 1. The DCP Colts Football team scored 55 points at the last game. The number of field goals was 1…

A: t= number of touchdowns f=number of field goals Now we will read statements and write in…

Q: An instructor wants to create a test that has true-false questions, multiple-choice questions, and…

A: Solution is written in below steps.

Q: 4 What is the value of x in the solution of the system of equations 3x + 2y = 12 and 5x – 2y = 4?

A:

Q: 22 b) 20 18 16 14 12 10 b) 4. 2. 3 4. 6. c) ya -4 -13 -2 -2 -5 c) -1 4. 3. 6. 7. 8. 10 11 10 13 15

A: We have to determine the solution for each of the given systems of equations.

Q: Solve the equations 2x - y + 3z = -3, 3x + 3y – z = 10, -x - y + z = -4 O x = 2, y = 1, z = -4 O x =…

A:

Q: How did you make your system on linear equations? Where did you get the 100? 10? 400? 20?

A: From the given data,  Population in 1990 is 249 million Population in 2000 is 281 million Population…

Q: Obtain the solution of this set of simultaneous equations: 3x1 - x2 - 2x3 = 1 -x, + 6x2 – 3x3 = 0…

A:

Q: 4. Solve the following Quadratic Systems of equations. If there is no solution write "no solution"…

A: To solve the following Quadratic Systems of equations. If there is no solution then to write "no…

Q: 6. The sum of three numbers is 16. The largest mumber is equal to the sum of the other two. Three…

A:

Q: 2. Which system of equations has no solutions? 3x +4y = 5 6x +8y 10 7x-2y 9 17x-2y = 13 A %3D (2x -…

A:

Q: Is (1, 3) a solution to this system of equations? 4x + 5y = 19 x + 5y = 16

A: 4x+5y=19-1x+5y=16-2eqn 1-23x=3x=1

Q: 2. Solve system of linear equations Ax = b, where 2 -4 0 2 1 -3 A = -1 2 12 3 -214 4 b= 1 2.

A:

Q: 4. Which of the following is the intersection point of the system of equations -7x + six y = ten and…

A: To find intersection point of following system of equations-7x+6y = 10    ..........18x -5y=-30…

Q: Solving which of the following systems of equations yields the

A:

Q: The sum of three numbers is 12. If the second number is subtracted from the sum of the first and…

A:

Q: Information about the Woodlawn Homecoming Game is shown below: $637 worth of tickets were sold .-…

A:

Q: Solve the following systems of non linear equations. y=x²-4x+5 4x-y=11

A: topic - solution of system of equations

Q: Which of the following could NOT be a possible number of real solutions of a system of quadratic and…

A:

Q: 11.) Solve the system of linear any equations and check Solutions algebraically. 2x+y=z=3 x-2y +…

A:

Q: A movie theater is selling only one size of popcorn and one size of soft drink. • Jason purchased 2…

A:

Q: 4) Solve the system of linear equations by substitution. Sy = 4z + 1 | 3x + y = 8 O (2, 5) O (1, 3)…

A:

Q: A system of linear equations can't have exactly two solutions. Why?(a) If (x, y, z) and (X, Y, Z)…

A: (a) Suppose we have a linear system of three equations and three unknowns: Rewrite into matrix form…

Q: Solve the system of equations by any method. Зх — 4у + 2х — —19 (1) - 2x + 4y + z = 20 (2) 2т + 3у +…

A:

Q: The sum of three numbers is -2. If the second number is subtracted from the sum of the first and…

A: Let first number=x second number=y third number =z

Q: Ms. Ramaswamy's Ice Cream shop sells Chocolate and Strawberry ice cream. The shop sells 28 cups of…

A:

Q: Show that the ordered triple (-1, -4, 5) is a solution of the system: х — 2у + 3z - 3y - z = 5 Зх +…

A: Given: x-2y+3z=222x-3y-z=53x+y-5z=-32 To Find: To show that the ordered triple -1, -4, 5 is a…

Q: Is it possible to determine the number of vehicles on each street per hour?

A: (b) is correct First we have to write down the equations of the given system. We have to find out…

Q: Solve the system of equations x – y + z = 10 2а + 3у — 22 3D — 21 2. 1 5x + FY+ 7% = -; 1 1

A: Given: x-y+z=102x+3y-2z=-2112x+25y+14z=-12

Q: 4. Solve the system of equations using the graphing method. If wanted, you can use the Empty Graph…

A: A system of linear equations contains m equations with n variables. When the number of variables is…

Q: For eac em, choose the best description of its solution. If applicavie, give the solution. The…

A: Given system of equation is as below.

Q: 3. Select the statement that correctly describes the solution to the system of linear equations. y=…

A:

Q: At a restaurant the cost for 1 taco ? and a small glass of milk ? is $2.10. The cost of 2 tacos ?…

A: Cost of (1 taco + 1 small glass of milk) = $2.10                   -(i) Cost of (2 tacos + 3 small…

Q: Information about the Woodlawn Homecoming Game is shown below: - $637 worth of tickets were sold -…

A:

Q: 2. What is the solution to the system of equations? y=-5z +3 y=1 O O (0.4, 1) (0.8, 1) OG (1.0.4) OO…

A: Given that y=-5x+3 y=1 To find the solution to the given system kf equations

Q: A merchant wants to combine two classes of peanuts with nuts which costs are, respectively, of $1.5,…

A: To determine the no. of pounds of the peanuts of the cheapest and expensive variety and nuts.

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A:

Q: Mr. Camacho's store offers two kinds of salsa: Verde and Rojo. Mr. C buys 3 jars of verde and 2 jars…

A:

Q: Solve the systems of equations 4x – 3y = 3 -2x + 6y = -4 O (4, -3) ㅇ (-1-등) ㅇ (, 몸) 1 5 3 9

A:

Q: 14 Find both solutions to the system of equations! y = 2x – 3 14y + x? = 6x + y + 7 %3D

A: Given: The system of equations: y=2x-34y+x2=6x+y+7 We have to find both solution to the system of…

Q: 6. Solve the system of equations using substitution. Jy = 3# – 1 | 2x – y = 5 O (-4, –13) O (-2,…

A: Here we will find the solution of given system of equations,

Q: 10 How many solutions are there for the following system of equations? y = z - 5z +3 and y = z-6

A: Gi

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.