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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I don’t think you have to worry about it because you
Step-by-step explanation:
First solve for y,
7-y<2x
7-2x<y
y>-2x+7
your y intercept would be (0,7)
and your slope would be -2/1 so, you go down 2 and 1 to the right.
Since this is a greater than symbol, we have to shade above the line and the line would also be a dotted line.
Answer:
Paint is measured in gallons
Step-by-step explanation:
Answer:
2/5 g/cm
Step-by-step explanation:
When you want to know "A per B", divide the given quantity of A by the corresponding quantity of B. ("Per" essentially means "divided by".)
It can be convenient to choose table values that make the division easy:
12 g/(30 cm) = 4/10 g/cm = 0.4 g/cm
20 g/(50 cm) = 2/5 g/cm . . . . . . . . . . . . . same as 0.4 g/cm
