Solve the system of equations using subtraction, 2x - 4y = -4 2x + y = 11

Mathematics

1 answer:

Ludmilka [50]2 years ago

6 0

Answer:

x=4, y=3; (4,3)

Step-by-step explanation:

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The heights of a maple tree and a cherry tree have a ratio of 5:2. If the maple tree grew 20 cm and 20 cm was cut off the top of

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Let x be the heights of a maple tree and y be the height of the cherry tree.
We know:
 $\frac{x}{y} = \frac{5}{2}$
The new ratio is obtained like this:
 $\frac{x+20}{y-20} = \frac{3}{1}$ .
From the above equation we get $x= (y-20)\frac{3}{1} -20$ .
then $\frac{ (y-20)\frac{3}{1} -20}{y} = \frac{5}{2}$
Solving the above equation for y we get: $y=160$
So $x=400$
So the first tree is (400-160=240) more taller than cherry tree.

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3 years ago

For every 9 black and white copies printed there are 2 color copies printed. If there are 200 color copies printed how many blac

alexandr402 [8]

Answer:

900 black and white copies are printed.

Step-by-step explanation:

Given:

For every 9 black and white copies printed there are 2 color copies printed.

If there are 200 color copies printed.

Now, to find the number of black and white copies are printed.

Let the number of black and white copies printed be $x.$