Answer:
y + 8 = 6(x + 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = 6 and (a, b) = (- 1, - 8), hence
y - (- 8) = 6(x - (- 1)), that is
y + 8 = 6(x + 1)
<u>Given Equation</u>:-
- 5x+y=17 . . . . . . . . 1
- x+y=3 . . . . . . . . . . 2
<u>To find</u> :
<u>Solution</u> :
<u>Let's start with equation 2</u>:-
x + y = 3
y = 3 - x
Put the value of y in Equation 1
- 5x+y=17
- 5x + (3 - x) = 17
- 5x - x + 3 = 17
- 4x + 3 = 17
- 4x = 17 - 3
- 4x = 14
- x = 14/4
- x = 7/2
- x = <em>3.5</em>
<u>Now Let's find value of y</u><u>:</u>
put the value of x in equation 2:
y = 3 - x
y = 3 - 3.5
y = <em>0.5</em>
-2x + 5 < 7
-2x + 5 < 7
<u> -5 -5 </u> deduct 5 from both sides
-2x < 2
<u>÷ -2 ÷ -2 </u> divide both sides by negative 2. Because of the division
x > -1 using a negative number, the sign is then reversed.
from < it becomes >.
The value of x should be greater than -1. It can be 0, 1, 2, so on...
To check: Revert back to the original sign which is <.
x = 1
-2x + 5 < 7
-2(1) + 5 < 7
-2 + 5 < 7
3 < 7
Answer:
a(10 - 13)
Step-by-step explanation:
The only common factor between these numbers is a, as 10 and 13 do not share factors (13 is prime). We can only factor out a.