Carole's car averages 17.4 mi/gal in city driving and 25.7 mi/gal in highway driving. If she drove a total of 523.9 mi on 22 gal of gas. Write the system of equations. (Note: The question is not asking you to solve the system. However, you may want to solve it and use the solution to check the validity of the system of equations.)

Q: Explain why a system of two equations with three variables cannot have exactly one ordered triple as…

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Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

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Q: Solve the following system of linear equations using the method indicated in brackets. 4x + 9 y = -…

A: Given equations are: 4x + 9y = - 7 ........................ (1) 2x - y = 2 ......................…

Q: solve the following systems of equations by any method. (Don't forget to find x and y)   y=x-4…

A: In this problem  Solution Pairs of x and y is the intersection points of both curves .

Q: What does a system of two linear equation in two variables represent? Explain graphically all the…

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Q: What is the y-value of the solution to the system of equations below? x + y = 38 =D38 -2x + 100 y 3D…

A: Given: x+y=38y=-2x+1005

Q: Find the general solution of the system by soluing the difenentiel equations below one by one. I…

A: Note:- As per our guideline, we can answer the first problem as both are different (not related to…

Q: Solve the system of linear equations for x and y:

A: Given data:     The first equation is: (cos θ)x+(sin θ)y=1. The second equation is : (-sin θ)x+(cos…

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: First, solve the following system of

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

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Q: Find the solution to the system of equations.

A: The given graph is as follows:

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: Find the solution to a system of equations by substitution. 2x + 5y = 1e - x+ 6y = 8 ow your work…

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Q: What is the solution for the following system of equations? y=2x-10 y=2-x

A: answer is x=4 and y=-2   explanation is given in below step

Q: What is the sum of the x-values that represent the solution for this system of equations? 1+ 2x = y…

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Q: solve the following systems of equations by any method. (Don't forget to find x and y) y=x2-5x+9…

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Q: What is the NEXT step in solving this system of equations, and what is the solution for the value of…

A: Given equations are- 2x-5y=6&  3x+y=26 As in the given question, we have already found the value…

Q: Given a homogeneous system of linear equations, if the system is overdetermined, what are the…

A: Given: An overdetermined homogeneous system of linear equations.

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

A: We can find the solution of the graph as below.

Q: x' = x+2y x(0)=1, y(0)=2 y' = 2x+ 4y

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Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

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Q: solve each problem by setting up and solving a system of two equations and two unknowns or a system…

A: Let the amount of 1 % milk be x quarts and the amount of 4 % milk be y quarts.

Q: Q2- Given the following system of equations, 1-find the value of z and x,

A: We are solving the first question and for the next questions post the question again and also…

Q: Solve the following system of equations using substitution x + y = 5 y = 3 + x 1.

A:

Q: Is it possible for a system of two linear equations in two variables to have exactly two solutions?…

A: Is it possible for a system of two linear equations in two variables to have exactly two solutions?

Q: Solve the system by substitution. If there is not a unique solution, state the reason. -6x-6y=-6…

A: Consider the given equations:

Q: Solve the following system of equations by the substitution method.  y=x2 y=x+20 what is the…

A: Given information

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

A: Given data:   The first point in the graph is (x1, y1)=(0,4). The second point in the graph is (x2,…

Q: Write a system of two equations in two variables to solve the problem. How many fluid ounces of…

A: Let x ounces of 6% sucrose solution and y ounces of 18% solution must be mixed, so…

Q: Given the system of equations

A: Given, the system of equations                            4a-2b+11c+3d=206a+3b-2c+15d=25…

Q: A rectangle has perimeter of 170 cm, and the length of a diagonal is 65 cm. What are its dimensions?…

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Q: To solve a system of equations using the addition method, one of the variables must have the same or…

A: Answer -  True.

Q: When Mei solved the system of equations below, she got the solution x=4, y =2. Without solving the…

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Q: Solve the following system of equations in x and y: a b х у ax a'b + = a² +b', where x, y + 0. y X

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Q: How do I solve a system of linear equations in two variables using substitution?

A: A system of linear equations in two variables is of the form             ax+by=mcx+dy=n

Q: It is given that, the system below has ONLY one solution, what is the value of a?? 4z+ay 82 0 1.

A: Given system of equations are  2x-y+4z=1 -4x+ay-8z=0 x-y-z=-1 find the value of a  given that the…

Q: What is the solution to the system?

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Q: Solve the system for x and y, expressing these in terms of a or b, when a + 0 and b # 0. 4ax + by =…

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Q: With a 1 unit change in b, what is the change in x in the solution of the system of equations x + y…

A: Introduction :Given ,two equations with variables x and y.we have asked to find the change in x

Q: -3 1 -2 X'(t) = 1 1 3 X(t). 0 0 3

A: Firstly , we can find eigenvalues and eigen vector of the given matrix.

Q: x = 4 – y Зх + 2у 3 15

A:

Q: Solve the given system by the substitu { -2x+y = -2 x-3y 8 What is the solution set of the system?

A: The given system of equation is  -2x+y=-2        …1x-3y=8               …2

Q: Is (10, 10) a solution to this system of equations? y = 4 y = -X + 5 yes no

A: no

Q: Find the general solution of the given system of equations. -3 V 2 x + -2 x' = x(t) =

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.