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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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Step-by-step explanation:

From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.

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