The graph represents this system of equations y equals 4 - x y equals x - 2 what is the solution to the system of equations

Mathematics

1 answer:

babunello [35]3 years ago

4 0

The solution to the system of equations is (3,1)

Step-by-step explanation:

The system of equations represented by graph are:

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

Solving the system of equations

Let:

$y=4-x\,\,\,eq(1)\\y=x-2\,\,\,eq(2)$

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

$x-2=4-x\\Simplifying:\\x+x=4+2\\2x=6\\x=6/2\\x=3$

So, Value of x = 3

Putting value of x into eq(2)

$y=x-2\\y=3-2\\y=1$

So, value of y= 1

So, The solution to the system of equations is (3,1)

Keywords: System of equations

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Step-by-step explanation:

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