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MatroZZZ [7]
3 years ago
11

Solve the given system by graphing. Check your answer. ( x+y =6 y =x-2

Mathematics
1 answer:
Lelu [443]3 years ago
3 0

The graph is shown in figure below

The Solution Set is (4,2)

Step-by-step explanation:

We need to graph the equations and writ the solution.

For graphing we need to find the values of x and y.

For that, we need to solve the given equations:

x+y =6\\y =x-2

Let

x+y =6\,\,\,eq(1)\\y =x-2\,\,\,eq(2)

Putting value of y from eq(2) into eq(1)

y =x-2\,\,\,eq(2)\\x+y=6\,\,\,eq(1)\\x+(x-2)=6\\x+x-2=6\\2x-2=6\\2x=6+2\\x=8/2\\x=4

Putting value of x = 4 into equation 2

y=x-2\\y=4-2\\y=2

So, value of y = 2

Plotting on graph: x=4 and y = 2

The graph is shown in figure below

The Solution Set is (4,2)

Checking the answer:

Putting value of x=4 and x=2 in eq(1)

x+y =2\\4+2=6\\6=6

So, answers are correct.

Keywords: graph the equations

Learn more about Graphing Equations at:

  • brainly.com/question/10541435
  • brainly.com/question/3126500
  • brainly.com/question/2334270

#learnwithBrainly

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A theater contains 460 seats and the ticket prices for a recent play were $52 for adults and $26 for children. If the total proc
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Answer:

The answer to your question is There were sold 166 adult tickets and 294

                                                     children tickets.

Step-by-step explanation:

Data

Total number of seats = 460

cost for adults = a = $52

cost for children = c = $26

Total cost = $16276

Process

1.- Write equations to solve this problem

              a + c = 460                    Equation l

         52a + 26c = 16276             Equation ll

2.- Solve the system of equation by substitution.

-Solve equation l for a

             a = 460 - c

-Substitute a in equation ll

         52(460 - c) + 26c = 16276

-Expand

         23920 - 52c + 26c = 16276

-Simplify

                     -26c = 16276 - 23920

                     -26c = -7644

                          c= -7644/-26

                          c = 294

3.- Find a

                        a = 460 - 294

                        a = 166

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