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2 answers:
Answer:
Step-by-step explanation:
To find the line parallel to the given linear equation, we have to use the same slope, because the condition of parallelism is that they must have the same slope.
So, the slope of the given line is , because it's expressed in slope-intercept form, where the coefficient of the variable <em>x </em>is the slope.
Now, we know that they new parallel lines must have a slope equal to 47, and must pass through (14,4). Using this data, we apply the point-slope formula to find the equation of the new line:
The image attached shows the parallelism.
Therefore, the answer is
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Answer:
Explanation:
[to solve for y, first use the properties of equality to simplify the equation]
5y + 3 = 8y − 5 + 2y
5y + 3 = (8y + 2y) – 5
[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]
5y + 3 = 10y – 5
[combine like terms]
5y + 3 = 10y – 5
[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]
5y = 10y – 8
–10y –10y
[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]
-5y = -8
÷(-5) ÷(-5)
[divide both sides by -5 to cancel out the coefficient of y: division property of equality]
y = 8/5