Answer:
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Answer:
To solve for the variable "k" in the equation "k + 31 = 72," you need to isolate "k" on one side of the equation. Here's how you can do it using friendly words and reasons:
1. Start with the original equation: "k + 31 = 72."
2. To isolate "k," you want to get rid of the "31" on the left side of the equation. You can do this by subtracting 31 from both sides to keep the equation balanced.
3. Subtract 31 from both sides:
"k + 31 - 31 = 72 - 31."
4. Simplify both sides:
"k = 41."
Step-by-step explanation:
So, the correct equation to solve for the variable "k" is: "k = 72 - 31," and this will give you the value of k, which is 41.
One Solution
No Solution
Infinitely Many Solutions
y = 0.5x + 5, y = 0.5x + 1
y = 0.25x - 2. y = 5x - 4
y = 2x + 3. y = 4x -1
y = 2x + 1.5, y = 2x + 1.5
y = -x - 3y = -x + 3
y = - 6x - 2 and y = - 6x - 2 has infinitely many solutions.
y = 0.5x + 5 and y = 0.5x + 1 has no solution.
y = 0.25x - 2 and y = 5x - 4 has one solution.
y = 2x + 3 and y = 4x -1 has one solution.
y = 2x + 1.5 and y = 2x + 1.5 has infinitely many solutions.
y = -x - 3 and y = -x + 3 has has no solution.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
y = - 6x - 2 and y = - 6x - 2 has infinitely many solutions.
y = 0.5x + 5 and y = 0.5x + 1 has no solution.
y = 0.25x - 2 and y = 5x - 4 has one solution.
y = 2x + 3 and y = 4x -1 has one solution.
y = 2x + 1.5 and y = 2x + 1.5 has infinitely many solutions.
y = -x - 3 and y = -x + 3 has has no solution.
More about the linear equation link is given below.
#SPJ2
Step-by-step explanation:
When we compare 2 system of equations (of the form y = mx + c), we take note of the following things:
Bearing this in mind, we have the following answers:
y = -6x - 2 and y = -6x - 2
=> Infinitely many solutions
y = 0.5x + 5 and y = 0.5x + 1
=> No solutions
y = 0.25x + 2 and y = 5x - 4
=> 1 solution
y = 2x + 3 and y = 4x - 1
=> 1 solution
y = 2x + 5 and y = 2x + 5
=> Infinitely many solutions
y = -x - 3 and y = -x + 3
=> No solutions
(−7,−3.5)
(−6,−3)
(−7,−4)
(−6.5,−3.5)
The answer is (-6.5,-3.5)