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3 years ago

Can somebody help me with this question

Mathematics

2 answers:

frosja888 [35]3 years ago

8 0

A solution is when the two lines intersect, when they have the same (x,y) point. So we can say y=y which is the same as saying:

2x-15=5x

-3x-15=0

-3x=15

x=-5, now use either to solve for the y coordinate...y=5x becomes:

y=5(-5)=-25 so the solution is the point:

(-5, -25)

Alexus [3.1K]3 years ago

3 0

We start with:

y=2x-15
y=5x

Now, we have a perfectly set-up variable we can get rid of: <em>y.</em>

But we need to make either the top or bottom equation negative, so for simplicity, let's make the bottom one negative.

y=2x-15
(-y)=(-5x)

Now simplify.

-3x-15=0

Add 3x on both sides.

3x=15

Divide by 3 on both sides.

x=5

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We are told that after the frame has been attached to the solar collector, the area that is left exposed is $2.5m^2$ . As we see in the figure, the dimensions of this area are

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We take the second solution i.e $x=0.0746$ , because first one gives a width larger than the dimensions of the solar collector which cannot be possible.

Thus the width of the frame is 0.0746 meters.