Part A: Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)
1 answer:
Answer:
x = 6
Step-by-step explanation:
Step 1 - Expand brackets via distributive property:
Step 2 - Combine like terms:
Step 3 - Use the addition property of equality to isolate the 9x:
Step 4 - Use the subtraction property of equality to move the 5x over and isolate the 24:
Step 5 - Use the division property of equality to simplify:
Hope this helps!
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Answer:
The measure of one angle is , and the measure of the other one is
Step-by-step explanation:
Recall that supplementary angles are those whose addition renders
We need to find the measure of two such angles whose difference is precisely .
Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:
We can now solve this by simply combining term by term both equations, thus cancelling the term in "y", and solving first for "x":
So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":