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:
38
Step-by-step explanation:
38of 502bhfghggiggjgfhhffj
Answer:
The answer is x = -32
Step-by-step explanation:
In order to find the value of x, e must first distribute the 6 into the parenthesis.
6(x - 7) = 8x + 22
6x - 42 = 8x + 22
Now we will add/subtract values so that all x values are on the right and all number values are on the left.
6x - 42 = 8x + 22
-42 = 2x + 22
-64 = 2x
Now to get the final answer, divide both sides by 2.
-32 = x
Answer:
C
Step-by-step explanation:
|-80 - 15| = 95
The distance between -80 and 15 is 95
80 to 0 plus 15.
X=7/2 which is equal to 3.5
