Answer:
x = -15
Step-by-step explanation:
Step 1: Write equation
3(2x - 5) - 3(x - 7) = 2x - 9
Step 2: Distribute
6x - 15 - 3x + 21 = 2x - 9
Step 3: Combine like terms
3x + 6 = 2x - 9
Step 4: Subtract 2x on both sides
x + 6 = -9
Step 5: Subtract 6 on both sides
x = -15
X and y will be both 5.
please correct me if i am wrong.
Answer:
n = 59
Step-by-step explanation:
I find it easiest to work problems of this kind using a graphing calculator. That way, extraneous solutions can be avoided. It seems to work well to rewrite the problem, so you're looking for a value of n that makes the result zero. Here, that would mean you want ...
... f(n) = √(n+5) -√(n-10) -1
_____
The solution by hand involves eliminating the root symbols. You do that by squaring the equation:
... n +5 -2√((n+5)(n-10)) + n -10 = 1
Now, we isolate the remaining root and square again.
... 2n -6 = 2√((n+5)(n-10)) . . . collect terms, add 2√( ) -1
... n -3 = √(n²-5n-50) . . . . . . . divide by 2
... n² -6n +9 = n² -5n -50 . . . . square both sides
... 59 = n . . . . . . . . . . . . . . . . . add 50 +6n -n²