A grocery store sells two brands of a product, the "house" brand and a "name" brand. The manager estimates that if she sells the "house" brand for x dollars and the "name" brand for y dollars, she will be able to sell 95 – 21x + 18y units of the "house" brand and 87 + 10x – 14y units of the "name" brand.

Q: Solve the system y=2x^2+x-3 y+6x=12

A:

Q: In a fruit stall, there were 7 more boxes of mangos than oranges. After receiving a delivery, the…

A:

Q: The average of two numbers is 5x. If one of the numbers is 2x + 3 find the other number.

A: We can find the answers as below

Q: Solve the system: 2x + 3y + 7z = 13, 3x + 2y - 5z = -22 and 5x + 7y - 3z = -28

A: Given the system of linear equations: Using Cramer's rule:

Q: In a discount clothing​ store, all sweaters are sold at one fixed price and all shirts are sold at…

A: Let cost of a sweater= $x and cost of a shirt= $y Given:  one sweater and five shirts cost $ 58.…

Q: Solve the system x2 + y = 4, 2x + y = 1 by the substitution method.

A: Given x2+y=4→1 , 2x+y=1→2from 2 y=1-2x →3

Q: Two cinemas (MovieMad and Action!) each sell popcorn, soda, and chocolate. In one week, MovieMad…

A:

Q: Solve the system    {x1+x2-3x3=-4 {3x1+2x2-3x3=9

A: Here, we need to solve the system x1+x2-3x3=-43x1+2x2-3x3=9. Substitute x1=-4-x2+3x3 in…

Q: A group of college students are going to a lake house for the weekend and plan on renting small cars…

A: Let the number of small car be x the number of large cars be y A total of 5 cars is rented,…

Q: Solve the system x + 4y - z = 20, 3x + 2y + z = 8 and 2x - 3y + 2z = -16.

A: Now adding equations (1) and (2), we get

Q: Acme Supply Company sold two types of printer paper, XL Quality Paper, which sells for $4.50 per…

A:

Q: Determine which point is the solution to the given system y= 3x + 22 y= 2x + 15

A: Point is (-7,1)

Q: Solve the system: 2x + 5y = -2, 3x - 4y = 20

A:

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

A: Let X be the number of nickels. Let 32-x be the number of quarters since there are 32 coins in all.…

Q: Solve the system: 4x-y = 5 and x+2y =8

A:

Q: Solve the system: 3x + 2y - 3z = -2, 2x - 5y + 2z = -2 and 4x - 3y + 4z = 10.

A: Given the three equations 3x + 2y - 3z = -2, 2x - 5y + 2z = -2 and 4x - 3y + 4z = 10. We need to…

Q: Give a step-by-step description of how to solve the systemx - 2y + 3z = -235y - 2z = 324z = -24

A:

Q: Solve the system: y = 3x - 2 and 15x - 5y = 10.

A: Given: y=3x-2                                       15x-5y=10…

Q: Solve the system x + y = 6, y = 2x  by the substitution method.

A:

Q: What is the value of X2 in the following system of equations: -2x1 + 7x2-9x3=5 3x1 - 4x2+ X3=7 4x1-…

A: Given equations are -2x1+7x2-9x3=5, 3x1-4x2+x3=7, 4x1-x2-7x3=19

Q: Solve the system y2 = x2 - 9, 2y = x - 3 by the substitution method.

A: Given:  y2=x2-9                                                                    ..12y=x-3…

Q: What is the solution of the following system {3x+3y=10 -9x-9y=-30

A:

Q: Find the general solution of the system. x′= 7x + 9y y′= −4x −8y

A:

Q: Solve the system: 3x-4y+1z=-4 1x-2y-1z=-12 1x+1y+1z=6

A:

Q: A store is having a sale on trail mix and jelly beans. For 9 pounds of trail mix and 7 pounds of…

A:

Q: solve the system x1 + 2x2 - 3x3 = 2 -2x1-2x2-3x3 = 6 4x1+6x2-6x3 =4

A:

Q: Solve the system. 6x + 2y – z = 2 5x – 2z = 4 x + 3y + 6z = -12

A: Solution: The objective is to solve the given system

Q: One year there was a total of 64 commerical and noncommercial orbital launches worldwide. In…

A: Let number of commercial orbital launches be x

Q: Solve each system a) 2x+3y-2z=5 x-2y+3z=2 4x-y+4z=1

A: Given,    2x+3y-2z=5 x-2y+3z=2   4x-y+4z=1

Q: Solve the systemx1 − 2x2 = 3 2x1 + x2 = 1 −5x1 + 8x2 = 4

A: Given: x1 - 2x2 = 3...(i) 2x1 + x2 = 1...(ii) -5x1 + 8x2 = 4...(iii)

Q: In golf, someone who completes a course in fewer strokes beats someone who completes it with more…

A: Given that Ayumi averages 1.5 times par strokes par game, so her strokes on 'p' par would be 1.5p.…

Q: What is the solution to the system y=3x-6 and 3x-y=6

A: Given information: The system of the equations is y=3x-6 and 3x-y=6. Calculation: Substitute y=3x-6…

Q: Solve the system: 2x + y - 2z = -1, 3x - 3y - z = 5, and x - 2y + 3z = 6

A: Given: 2x+y-2z = -1                ...(1)3x - 3y-z = 5                  ...(2)x-2y+3z = 6…

Q: . If one sweater and four shirts cost ​$40​, while four sweaters and five shirts cost ​$83​,…

A:

Q: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

A:

Q: Solve the system: 4x+7y-4z=6 x+3y+3z=-25 7x-4y-4z=25

A: From x+3y+3z=-25 we get x= -25 -3y -3z (subtracted 3y and 3z)Plug x=-25 -3y -3z in other two…

Q: Find a general solution of the system in Attachment

A:

Q: Sierra runs a factory that makes Blu-ray players. Each T50 takes 9 ounces of plastic and 6 ounces of…

A:

Q: Solve the systemx1 + 2x2 + x3 = 12x1 + 4x2 + 2x3 = 3

A: Consider the provided equation, x1+2x2+x3=1..... (1)2x1+4x2+2x3=3...... (2) Solve the above system.…

Q: In a discount clothing​ store, all sweaters are sold at one fixed price and all shirts are sold at…

A:

Q: Determine the number of real solutions of the system: y = x2 - 3 y=-2x+4

A: Given,         The system of equations are             y=x2-3             y=-2x+4

Q: Bused on the system of equations to the right, what is the value of y=3x-2 x+2y? y=-8x-22

A: Answer and explanation is given below

Q: Last season two running backs on the Steelers football team rushed a combined total of 1,550 yards.…

A: Setence One :Last season two running backs on the Steelers football team rushed a combined total of…

Q: Solve the system. — 2а — 8у - 2x - 16 — За — 12у 3x = - 23 —

A:

Q: Solve the system 5x - 2y = 4 and -10x + 4y = 7.

A: Given, 5x-2y=4-10x+4y=7

Q: Solve the system x + y = 4, y = 3x by the substitution method.

A:

Q: Solve the 2x2 system using elimir 2x+y = 2 6x-2y =16

A:

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.