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1 year ago

Find the solution of the system of equations. x-y=-3-8x+y=45

Mathematics

1 answer:

mezya [45]1 year ago

5 0

Answer:

x = 17, y = 28

Step-by-step explanation:

1. Isolate for x in "x - y = -3, -8":

x - y+y = -3, -8+y

x = -11 + y

2. Substitute "x = -11 + y" in for x in the second expression:

-11 + y + y = 45

3. Simplify:

-11 + 2y = 45

4. Isolate y:

-11+11 +2y = 45+11

2y = 56

$\frac{2y}{2} = \frac{56}{2}$

y = 28

5. Substitute the new y-value into the first equation:

x = -11 + 28

x = 17

hope this helps!

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Mike is not right

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

Let

z----> the scale factor

x----> surface area of the enlarged rectangular prism

y-----> surface area of the original rectangular prism

$z^{2}=\frac{x}{y}$

In this problem we have

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substitute

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Mike is not right

<em>Verify with an example</em>

we have a rectangular prism

$L=5\ m$

$W=2\ m$

$H=3\ m$

The surface area of the prism is equal to

$SA=2(LW)+(2L+2W)H$

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If he doubles each dimension of any rectangular prism

then

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$H=3*2=6\ m$

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