12x + 4y = 16 24x + 8y = 33
1 answer:
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Answer:
Step-by-step explanation:
Given
Required
Determine the equation of line that passes through (-8,0) and parallel to
Parallel lines have the same slope.
In
The slope, m is
because the general form of a linear equation is:
Where
So, by comparison:
Next, is to determine the equation of line through (-8,0)
This is calculated using:
Where
So, we have:
First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside
After distributing, the left side of your inequality will be 6x-2
Now you have
To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.
so you have
And that will make the equation
Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.
Then, the value of x is greater than or equal to 2
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside
After distributing, the left side of your inequality will be 6x-2
Now you have
To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.
so you have
And that will make the equation
Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.
Then, the value of x is greater than or equal to 2