x + y = -2
x + 5y = 2
Ordered pair (-3, 1) ==> x = -3, y = 1
For the fisrt equation:
x + y = -2
-3 + 1 = -2
-2 = -2 True
For the second equation:
x + 5y = 2
-3 + 5(1) = 2
-3 + 5 = 2
2 = 2 True
Answer:
Yes, the ordered pair is a solution because it satisfies both equations
(1-tanx)(1-cotx)=2-secxcscx
1 - tanx - cotx + 1 = 2 - secxcscx
2 - tanx - cotx = 2 - 1/(sinxcosx)
tanx + cotx = 1/(sinxcosx)
sin^2(x) + cos^2(x) = 1
Word Problem: Sophie and Joan need to determine whether or not they have enough paint to paint the walls of their bedroom. They need 2 6/7 gallons of paint in order to cover the entire room. Sophie has brought 5/6 of a gallon of paint. What is the minimum amount of paint Joan needs to bring in order to paint the entire wall?
Answer: 2 1/42 gallons
Solving Steps:
- 2 6/7 - 5/6 (needs to be simplified)
- 6/7 x 6/6 = 36/42
- 5/6 x 7/7 = 35/42
- 36/42 - 35/42 = 1/42
- 2 + 1/42 = 2 1/42
- Final Answer: 2 1/42 gallons
I hope this helps!! :)