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:
1. 0.333 No
2. 0.3 or 0.300 Yes
3. 0.667 No
Step-by-step explanation:
Answer:
The answer is : True
Step-by-step explanation:
In graph theory, the degree of a vertex of a graph is the number of edges that are incident on the vertex, and in a multigraph, loops are counted twice.
Answer:
y < 1/5x - 2
Step-by-step explanation:
bc the line is dotted and the graph is shaded down, the sign is < (less than y)
the y intercept is -2, and the slope is 1/5, which you can find both of these using the given points
Answer:
9/16
Step-by-step explanation:
