Question

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

Answer 1

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

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