No solutions if k is anything but 21
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Explanation:
Let's multiply everything in the first equation by 3
3x-2y = 7
3*(3x-2y) = 3*7
9x - 6y = 21
We have the 9x-6y match perfectly with the left hand side of the second original equation.
If k = 21, then we have two identical equations that produce infinitely many solutions.
If , then this system is inconsistent and has no solutions.
1200
Explanation:y represents the estimated population
t represents the number of years.
The equation that predicts the population after t years is given as:
Substitute t = 3/2 into the equation
The closest valuie to the value of y is 1200
4b = 5b - 3a # Starting equation, solve for 'a'
-b = -3a # Subtract 5b from both sides
= a # Divide both sides by -3.
a = # Use the reflexive property of equality
Hope this answers your question!