The solution to the system of equations is (3,1)
Step-by-step explanation:
The system of equations represented by graph are:
[tex]y=4-x\\y=x-2[/tex]
Solving the system of equations
Let:
[tex]y=4-x\,\,\,eq(1)\\y=x-2\,\,\,eq(2)[/tex]
Putting value of y from eq(2) into eq(1):
[tex]x-2=4-x\\Simplifying:\\x+x=4+2\\2x=6\\x=6/2\\x=3[/tex]
So, Value of x = 3
Putting value of x into eq(2)
[tex]y=x-2\\y=3-2\\y=1[/tex]
So, value of y= 1
So, The solution to the system of equations is (3,1)
Keywords: System of equations
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