For the given system of linear equations to give an infinite number of solutions the value of k should be 2.
<h3>What is a Dependent Consistent System of equations?</h3>
A system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
Given the two systems of linear equations,
2x + 3y = 4
(k+ 2)x + 6y = 3k+2
For any system of equations to have infinitely many solutions, the equation of the linear system must be in ratio, so that the lines of the equations overlap each other. Therefore, the ratio for the two of the given equations can be written as,
2/(k+2) = 3/6 = 4/(3k+2)
Solving the ratio to get the value of k,
2/(k+2) = 3/6
2/(k+2) = 1/2
2 × 2 = 1 × (k+2)
4 = k + 2
4 - 2 = k
k = 2
Hence, for the given system of linear equations to give an infinite number of solutions the value of k should be 2.
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Multiply 300 times 5. you know that 3 times 5 equals 15. 15 plus 2 zeros is 1500. 1500 is the estimated answer
First step is Add 3 to both sides
hope it helps
Answer:
Step-by-step explanation:
By logarithm rules
Answer:
C) Z
Step-by-step explanation:
In the right triangle, X and Y are side lengths, while Z is the hypotenuse, so C is the correct answer.
