Determine whether the point (2, 0) is a solution to the system of equations. Explain your reasoning in complete sentences.
Stacey Warren - Expert brainly.com
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just put these point in the place of variable and if they satisfy the equeation then they are solution sets ......
how do I know if they satisfy them? I plugged it in and i got g(x) = 8 and f(x) = 2
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That is a picture of the graph they gave us
where tow lines will cut each other i will be the solution set of equeations...
Oh okay so it should be (0,2) ?
If you have a graph showing all of the equations, any solution to all of the equations will be a point at which all of the equations intersect. Is (2,0) such a point?
For the same value of \(x\), both \(f(x)\) and \(g(x)\) must be equal for that value of \(x\) to be a solution.
Oh so I just plug in 2 for x in both of my solutions and 0 for y?
\[y = f(x) = |x-1|+1\]\[y = g(x) = 3x+2\]If we think \(x=2\) might be a solution, then
\[f(2) = g(2)\]but \[f(2) = |2-1|+1 = 2\]and \[g(2) = 3(2) +2 = 8\] and those are not equal...
Yes, you could also do it that way as a check:
\[0 = f(2) = |2-1|+1\checkmark\]so far, so good, but let's try the other equation, which also must work:
\[0 = g(2) = 3(2)+2 = 8\]Bzzt, wrong!
So \((2,0\) is NOT a solution to that system of equations.