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3 years ago

What is value of x and y if Y=-2x+8 and Y=3x-7

Mathematics

1 answer:

iren [92.7K]3 years ago

3 0

Answer:

X=5 y=-2

Step-by-step explanation:

Set them equal to each other so...

-2x+8=3x-7

Simplify by balancing out the equation so

-5x=-1

So x=5

Now plug it into either y equation

-2(5)+8

-10+8

Y=-2

Hope this helps!

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78.84 meters= Centimeter

ValentinkaMS [17]

Answer:

7884 Centemeters

Step-by-step explanation:

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3 years ago

Read 2 more answers

Solve the following differential equation: (2x+5y)dx+(5x−4y)dy=0 *Hint: they are exact<br><br> C=.

Tpy6a [65]

Answer with Step-by-step explanation:

The given differential equation is

$(2x+5y)dx+(5x-4y)dy=0$

Now the above differential equation can be re-written as

$P(x,y)dx+Q(x,y)dy=0$

Checking for exactness we should have

$\frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}$

$\frac{\partial P}{\partial y}=\frac{\partial (2x+5y)}{\partial y}=5$

$\frac{\partial Q}{\partial x}=\frac{\partial (5x-4y)}{\partial x}=5$

As we see that the 2 values are equal thus we conclude that the given differential equation is exact

The solution of exact differential equation is given by

$u(x,y)=\int P(x,y)dx+\phi(y)\\\\u(x,y)=\int (2x+5y)dx+\phi (y)\\\\u(x,y)=x^2+5xy+\phi (y)$

The value of $\phi (y)$ can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)

$\frac{\partial u}{\partial y}=\frac{\partial (x^2+5xy+\phi (y)))}{\partial y}=Q(x,y))\\\\5y+\phi '(y)=(5x-4y)\\\\\phi '(y)=5x-9y\\\\\int\phi '(y)\partial y=\int (5x-9y)\partial y\\\\\phi (y)=5xy-\frac{9y^2}{2}\\\\\therefore u(x,y)=x^2+10xy-\frac{9y^2}{2}+c$

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3 years ago

How many 5 mm square tiles do I need to cover an area of 930 cm square? The answer is 3720 tiles. How do you get that answer?

Igoryamba

930 cm divided by 5mm

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3 years ago

What formula to use <br> Answer

77julia77 [94]

Check the picture below.

now, since we know what "f" is, let us use the CNT triangle with the small COR one.

$\bf \cfrac{36+f+30}{36}=\cfrac{48+32+g}{48}\implies \cfrac{36+24+30}{36}=\cfrac{48+32+g}{48} \\\\\\ \cfrac{90}{36}=\cfrac{80+g}{48}\implies \cfrac{5}{2}=\cfrac{80+g}{48}\implies 240=160+2g \\\\\\ 80=2g\implies \cfrac{80}{2}=g\implies 40=g$

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3 years ago

lukranit [14]

Answer:

Step-by-step explanation:

The y-coordinate of the point where both lines intersect will give us the same solution for x.

At y = 4, both equations will have a corresponding x-value of 1.

Therefore, the value of y that that will make both equations have the same solution of x is 4.

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3 years ago