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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Answer: The answer is d. 64 units
Answer: 2.15, 2.2, 2.2012, 2.501
Answer:
Step-by-step explanation:
Okay, In solving to find the square feet of a rectangle, you need to know the length and the width to be able to get the answer. Length x Width = area. In this case you already know the area, so just reverse the steps. 18 Ft is the area and the width is 3ft, you’re just missing length. 18/3 = 6. 6ft is the length
