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1 answer:
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The <em><u>correct answer</u></em> is:
15 bicycles and 6 skateboards.
Explanation:
Let x represent the number of bicycles and y represent the number of skateboards. The first equation in our system is then
x+y = 21, since there are 21 total items in the shop.
Each bicycle has 2 tires and each skateboard has 4; this gives us the equation
2x+4y=54 (because they are ordering 54 tires).
This makes our system
We will use elimination to solve this; we first need one of the variables to have the same coefficient in both equations. We will make x the same, and we will do this by multiplying the first equation by 2:
Now we will subtract the second equation from the first one:
Divide both sides by -2:
-2y/-2 = -12/-2
y = 6
There were 6 skateboards. Substituting this into the first equation,
x+6 = 21
Subtract 6 from each side:
x+6-6 = 21-6
x = 15
There were 15 bicycles.
Answer:
Step-by-step explanation:
you can use the equation point-slope of a line
(y-y1)= m(x-x1)
m is the slope =rise /run
to get from the lower point on the line to the other you rise 4 units and run -6 units so m= -4/6= -2/3
now that you have the slope pick you need one point
pick any poin on the line for example (-4, -1)
now you substitute into the point-slope equation point (-4,-1) and slope -2/3
(y+1)= -2/3(x+4)
in standard form will be
y=
y=