If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club?
2 answers:
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Answer:
- Equation 1 has exactly one solution.
- Equation 2 has infinitely many solutions.
- Equation 3 has no solution.
Step-by-step explanation:
We are given three equations to solve. First, let's solve the equations for x.
<u>Equation 1</u>
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Therefore, we determined that for the first equation, x = -5. We can check our solution by substituting it back into the original equation.
Since we got a true statement, there are no other values of x for which we get a true statement. Let's test this with the opposite value: positive 5.
Therefore, for Equation 1, there is exactly one solution.
<u>Equation 2</u>
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We get a true statement by solving for x (which ends up canceling out of the equation entirely). Therefore, we can check <u>any value</u> in place of x to see if we get a true statement. For this instance, I will use -3.
We still get a true statement, so Equation 2 has infinitely many solutions.
<u>Equation 3</u>
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We get a false statement. Therefore, Equation 3 has no solution.