Use a system of linear equations to solve:A rectangular lot whose perimeter is 320 feet is fenced along three sides. An expensive fencing along the lot’s length costs $16 per foot and an inexpensive fencing along the two side widths costs only $5 per foot. The total cost of the fencing along the three sides comes to $2140. What are the lot’s dimensions?

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

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Q: Why do systems of equations sometimes have no solutions?

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Q: Solve each system of linear equation by addition method. 5x+8y=1 2x+3y=2

A: Multiply first equation by 2 and second equation by -5.

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Q: Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How…

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Q: When graphing a system of equations with one solution, the alopes of the two lines will be______.…

A: Given that the system of equations has only one solution.  This means the lines will intersect at…

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

A: Let assume the number of $20 bills = x And number of $5 bills = y As ten dollars bill is 3 times the…

Q: What is the solution of the system of equations graphed below?

A: Here the graph of two straight lines is given

Q: Solve the systems of equations by substitute  4x - 5y = -17 3x + 2y = -7

A: Given:

Q: {3x-y=-2 Qx²-y=0

A: Given

Q: Consider the system of equations a' = µx + y – x(x² + y³), y' = -x + µy – y(x² + y³),

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Q: Use a system of linear equations in three variables to solve the following problem.   At a college…

A: Let x be the number of $8 tickets sold, y be the number of $10 tickets sold and z be the number of…

Q: The length of a rectangle is 5 inches more than double its width. If the perimeter is 70 inches find…

A: Here we will find the dimensions of the rectangle,

Q: Why do systems of equations sometimes have no solution?

A: We have to use properties of system of linear equations to to find out solution

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

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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: Utilize graphing to find the solution to the following system of equations. y = x + 8 AND y = -4x +…

A: we have to find the solution of the given system of equations   the given equations are…

Q: Solve the system of linear equations using elimination by addition or subtraction.

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Q: Solve the system of linear equations by elimination. x + y = 2 2x + 7y = 9 ( ,  )

A: Given query is to find the solution of the system of equation.

Q: Solve the following system of equations. √ x² + y² = 29 x-y²= -9

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Q: Use a system of linear equations with two variables and two equations to solve. 185 students…

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Q: Use a system of linear equations with two variables and two equations to solve. 180 students…

A: Let the number of pass students be 'p' andnumber of fail students be 'f'.p+f=180  --->14p=f…

Q: The sum of two numbers is 38. If one of the numbers is two less than three times the other, find the…

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

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

Q: Solve the given linear system. -2 = (-²5)× X -2 4 X(t) = X' X

A: Consider the given linear system, x'=-25-24x it can be written as x'=Ax. The eigenvalues will be,…

Q: Use a system of linear equations with two variables and two equations to solve. 216 students…

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Q: Solve each system of equation by elimination. -7x+ y=-19 -2x + 3y =-19 2. 1. 1) –4x – 2y= -12 4x + 8…

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Q: Solve the following system of linear equations by graphing, y = -2x + 52 y = 2x + 24 Solution: (

A: We will find out the required solution.

Q: Find the solution to the system of equations. 4YE X+2 3 ([?], [ ]) K4-3 -2 -1 -1 -2 X = -4 1 2 3 4…

A: Topic = Equations

Q: equations

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Q: Sol Lushen, a chemistry student, has two solutions, solution A and solution B.  Solution A contains…

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Q: Given the system of linear equations, solve for x [5 2 10 12 21[X1] X2 = 20 19 3 [101 3 3 30 222

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Q: Solve the following system of equations: -2x1 + 6x2 + t -2r1 + 5x2 – 1

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Q: Leroy spent 20 minutes jogging and 40 minutes cycling and burned 600 calories. The next day, Leroy…

A: given,          Leroy spent 20 minutes jogging and 40 minutes cycling          and burned…

Q: Based on the system of equations to the right, what is the value of 4x+6y? 4x + 5y = -7 5x + 4y = -2

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Q: Translate to a system of equations and solve. A cashier has 30 bills, all of which are $10 or $20…

A: Firstly we make the equations and after that we can solve the equation by eliminating method.

Q: Solve the given linear system. -2 5 X' = -2 4 X(t) =

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Q: Translate to a system of equations and solve. June has 72 gallons of punch for a party. June carries…

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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: Formulate a system of equations for the situation below and solve. For the opening night at the…

A: front orchestra ticket sold: x rear orchestra ticket sold: y front balcony ticket sold: z Total…

Q: Solve the following system of equations: -2x1 + 6x2 +t (1) X2 -2.x1 + 5x2 – 1 (2)

A: The solution is given as

Q: How do you determine whether a given ordered triple is a solution of a system of linear equations in…

A: An ordered triple of real numbers that satisfies all equations in the system is known as solution of…

Q: A total of 243 adults and children are at a movie theater. There are 109 more adults than children…

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