How many Solutions are there for -6(3x+2)=2x-5-20x-7
1 answer:
First of all, expand the left hand side:
Sum like terms on the right hand side:
As you can see, the equation turned to be an identity: it doesn't matter which value for x you are choosing: you're evaluating the same expression in both sides, so they will always be the same.
In other words, you're asking: which value for x should I choose so that -18x-12 and -18x-12 evaluate to the same number? Well, obvisouly any value for x will do.
So, there are infinitely many solutions to this equation, namely ever real number is a solution of this equation.
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Option 3 is the correct answer. The missing values of (x, y) is (8, 20).
<h3>How do you find out the values?</h3>Given that the function is,
The function is a linear equation that can be solved graphically. The values of both variables x and y can be found on different points along with the straight-line graph.
Also, for every value of x, there is a corresponding value of y.
For the given options, we put the values of x to find the corresponding value of y.
For option 1, put x = 0 in the given function,
But for x=0, y= 18, hence option 1 is not correct.
For option 2, put x = 5 in the given function,
But for x=5, y= 19.5, hence option 2 is not correct.
For option 3, put x = 8 in the given function,
But for x=8, y= 20, hence option 3 is the correct answer.
Hence we can conclude that option 3 is the correct answer. The missing values of (x, y) is (8, 20).
To know more about the function, follow the link given below.