What is the value of a if ab + ac = 21 and b + c = 7?
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Good answer, HACKER. Stupid git.
Now, on to the problem.
We have ab + ac = 21. But, we can factor out the a to get a(b+c) = 21. They have also given b+c = 7, so a(7) = 21. That means a=3.
To find the value of "a," we can use the given equation "ab + ac = 21" alongside the equation "b + c = 7." Here's how we can solve for "a":
Step 1: Rearrange the equation "b + c = 7" for one of the variables. Let's solve it for "b":
b = 7 - c
Step 2: Substitute the value of "b" from Step 1 into the equation "ab + ac = 21":
(7 - c)a + ac = 21
Step 3: Distribute the 'a' on the left side of the equation:
7a - ac + ac = 21
Step 4: Simplify the equation:
7a = 21
Step 5: Divide both sides of the equation by 7 to solve for "a":
a = 21 / 7
a = 3
Therefore, the value of "a" is 3.