(-19,55) x is equal to -19 and y is equal to 55
X=7
after you remove parentheses you do those steps
Answer:
arcLP = 19
Step-by-step explanation:
Given the following
arcLM = 8x-56
arcNP = 5x+22
Required
arcLP
Given that arcLM = arcNP
8x-56 = 5x+22
8x - 5x = 22 + 56
3x = 78
x = 78/3
x = 26
Let assume arcLP = x - 7
arcLP = 26 -7
arcLP = 19
The two equations are

and

the first equation can be solved for x to be

next you can substitute x in the second equation

Distribute 4 to everything in the parentheses

combine like terms:

subtract 28 from both sides of the equation

divide both sides by -1.5

plug this in to the original equation of x+y=7

subtract 4 from both sides.

Final Answer: they bought 3 adult tickets and 4 student tickets
Hope this helps!
Answer:
- x > -2
- n ≤ -2 or n ≥ 8
Step-by-step explanation:
<h3>1.</h3>
Add 7x-2 to both sides and collect terms.
2x +2 -6x +7x -2 > -4 -7x +7x -2
3x > -6
x > -2 . . . . . . . divide by 3
__
<h3>2.</h3>
Solve these one at a time, and form the union of the answers.
1 +7n ≤ 15 . . . .given
7n ≤ 14 . . . . . . subtract 1
n ≤ 2 . . . . . . . divide by 7
__
-2n -2 ≤ -18 . . . given
-2n ≤ -16 . . . . . add 2
n ≥ 8 . . . . . . . . divide by -2
The solution is n ≤ -2 or n ≥ 8.