5x-5=-7y
3x+2y=-8
First, you need to rearrange the first equation so it is in the same format as the second one.
5x-5=-7y
Add 5 to both sides
5x-5+5=-7y+5
Add 7y to both sides
5x+7y=-7y+7y+5
So you have 5x+7y=5
Now you need to multiply that equation by 3
3(5x+7y=5)
15x+21y=15
Multiply the second equation by -5
-5(3x+2y=-8)
-15x-10y=40
Now add them together
15x+21y=15
+(-15x-10y=40)
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11y=55
y=5
Now plug y=5 into one of the original equations and solve for x.
3x+2(5)=-8
3x+10=-8
3x=-8-10
3x=-18
x=-6
To check the solution plug them both into the other equation:
5(-6)-5=-7(5)
-30-5=-35
-35=-35
It checks.
Hope that helps.
Answer:
first cross multiply
2x×4=3×8
8x=24
then, divide both sides by "8" so x could be alone
x=24/8
x=3
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Step-by-step explanation:
This is quite simple, first, you must find the area of each shape, since the form of the prism is currently 2D.
Formula for (Area of Rectangle)= length x width
Formula for (Area of Triangle)= 1/2 base x height
Now, we have the formulas. Let’s get started!
(Identification) There are 3 rectangles and 2 triangles. 2 rectangles are of the same size and 2 triangles are of the same size.
Triangles~ the base is 6 and the height is 4.
1/2 (6 x 4) = 12
However, there’s two triangles. (of the same size)
12 x 2 = 24
Rectangles 1 and 2~ the length is 5 and the width is 7
5 x 7 = 35
However, there’s two rectangles. (of the same size)
35 x 2 = 70
Rectangle 3~ the length is 6 and the width is 7
6 x 7 = 42
There’s only one of these.
Now we add all the areas of the shapes together!
24 + 70 + 42 = 136
The surface area is 136.
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Assuming you are asking what does x represent when you say "What does represent" the answer is a: the number of days it take the brothers to paint 13 pictures.
The first 2 sentences are useless and don't tell you anything (well they do but you don't need the information).
Both brothers can paint 13 pictures in x days.
So x means days, more specifically, the number of days it took for the brothers to paint 13 pictures.
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The answer is 33 years .
Here's why:
10% of 3 is .3
Just move the decimal to the left .
.3 times 33=9.9
9.9~10