hi
x- 3/5 = 5x/ 6
6x - 18/5 = 5x
6x -5x = 18/5
x = 18/5
let's check : 18/5 - 3/5 = 15/5 = 3
5 * 18/5 / 6 = 18/6 = 3
result is correct.
The velocity, slope, of a line is always (y2-y1)/(x2-x1), in this case:
slope=(8-2)/(7-9)=6/-2=-3
m=-3
Answer:
Step-by-step explanation:
<h2><u>Answers and Explanation</u></h2>
<u>(a) Betty’s expression:</u>
Cost of guest = 10 × x + 10 × x + 10 × x
= 10x + 10x + 10x
cost of the venue = 80
Total cost =<em> 10x + 10x + 10x + 80</em>
<u>(b) Dawnie’s expression:</u>
Cost of the location = $80
Number of guests = x + x + x
Cost of all guests = $10(x + x + x)
Total cost = <em> 10(x + x + x) + 80</em>
<u>(c) Joan’s expression:</u>
Cost of the location = 80
Cost of guest = 10 × x + 10 × x + 10 × x
= 10x + 10x + 10x
= x(10 + 10 + 10) ⇒ After factoring out x.
Total cost =<em> x(10 + 10 + 10) + 80</em>
#1.
[4x = -12y + 16 and x + 3y = 4]
One answer
#2.
Here, y = 4x + 3
y - 4x = 3
Multiply by 2,
2y - 8x = 6
Compare with second equation,
6 ≠ 3
In short, System of Equation does not have any solution. [ Option D ]
#3.
2y=6
3x-6y=18
Divide first equation by 2: y=3
Substitute y=3 into second equation: 3x-6(3)=18
Solve for x: 3x=36 x=12
Therefore there is only one solution: x=12 y=3
#4.
y - 7x = -14
7y - 49x = -2
Rewrite the first equation as "y =" so that it can be substituted into the second equation and solve for x.
y = 7x - 14
7(7x - 14) - 49x = -2
49x - 98 - 49x = -2
-98 = -2
Since the variables cancel and the equation is not true there is no solution.
The lines are parallel and will not intersect.
