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the answer for number 6 is 5.7
The solution to given system of equations is 
The given equation has one solution
<em><u>Solution:</u></em>
Given system of equations are:
12x - 13y = 5 --------- eqn 1
x = 23y + 10 --------- eqn 2
We have to solve the system of equations by substitution
<em><u>Substitute eqn 2 in eqn 1</u></em>
12(23y + 10) - 13y = 5
276y + 120 - 13y = 5
263y = 5 - 120
263y = -115

<em><u>Substitute the above value of "y" in eqn 2</u></em>

Thus the solution to given system of equations is 
Thus the given equation has one solution
Answer: x = 13.4
Step-by-step explanation:
We translate 'English' to 'math':
'decreased by' is subtraction
'is' means '='
12(x - 10) = 2x + 14
12x - 120 = 2x + 14
subtract 2x from each side
10x - 120 = 14
Add 120 to each side
10x = 134
Divide by 10 , to isolate the 'x'
x = 13.4
If we substitute 13.4 for 'x' back in the first equation, we get 40.8 for each side, so the equation balances.
I hope this helps.
Answer:
3
Step-by-step explanation:
tan 60 = root(3)
tan² 60 = {root (3)}²
tan² 60 = 3