Answer:
(1, 6 )
Step-by-step explanation:
5x + 2y = 17 → (1)
4x + y = 10 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 8x - 2y = - 20 → (3)
Add (1) and (3) term by term to eliminate y
- 3x + 0 = - 3
- 3x = - 3 ( divide both sides by - 3 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for x
Substituting into (1)
5(1) + 2y = 17
5 + 2y = 17 ( subtract 5 from both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (1, 6 )
U = {points on the coordinate plane}
A = {solutions to the equation y = 2x + 5}
B = {points on the line y = mx}
Value of the slope m so that {2x + 5} ∩ {mx} =Ф
This means that {2x + 5} never intersects with {mx}
To that end m=2 (same slope), if so the 2 linear functions:
y = 2x+5 and y = 2x are PARALLEL
Answer: I think the two trains meet at 9pm
Explanation: A=train a B=train b
If A is traveling for 6 hours and B is traveling for 3 hours, then you minus 3 hours from A, so you are left with 3 hours. Convert that into time, and you are left with 9pm!
Hope this helps! :)
C, since the radius is 10 multiply by 2 and 100 x 3.14 is 314
Easy.
7x + 2 = 2
7x = 2 - 2
7x = 0
x = 0 / 7
x = 0
Verify this by putting x = 0 ...
7 ( 0 ) + 2 = 2
0 + 2 = 2
2 = 2
Hence, "0" is the final answer.
Hope helps ........