Answer:
Step-by-step explanation:
y=-1/3x+9
This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3). The new slope is 3. equation is:
y = 3x + b
To find b, enter the given point, (-6,-2) and solve for b:
y = 3x + b
-2 = 3(-6) + b
-2 = -18 + b
b = 16
The full equation is y=3x + 18
Number of comic books Bobbie has - b
95 = (9 + b) + b
Since 95 is the total number of comic books both boys have, it is equal to both boys' books added together. However, since we don't know how many books Kenny has, and only that he has 9 more than Bobbie, we can define that as (9 + b), or nine more than b. Then, we add b again, because (9 + b) is the number of books Kenny has, and if we add that to the number of books Bobbie has, it will equal the total of 95 comic books.
Step-by-step explanation:
Let's say c is the price of cinnamon tea, and s is the price of spice tea.
10c + 2s = 13
16c + 8s = 28
Divide the second equation by 4:
4c + 2s = 7
Subtract from the first equation:
6c = 6
c = 1
Use any equation to find s.
s = 1.5
Therefore, the cinnamon tea costs $1 per pound and the spice tea costs $1.50 per pound.
Answer:
x = 6
Step-by-step explanation:
20 = 7x + 2 - 4x
7x + 2 - 4x = 20 (switch the sides)
7x - 4x + 2 = 20 (group the like terms together)
3x + 2 = 20 (add similar numbers, in this case it's the both x's)
-2 -2 (subtract 2 on both sides)
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3x = 18
/3 /3 (divide both sides by 3)
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x = 6
Answer:
Step-by-step explanation:
from equation 1 we get,
now,
we get,
now,
we get,
hence, the value of x = 3 and y = (-1)