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2 years ago

X+2y=0 3x+4y=4 find the solution

Mathematics

1 answer:

Nady [450]2 years ago

4 0

Answer:

(x, y) = (4, -2)

Step-by-step explanation:

The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.

(3x +4) -2(x +2y) = (4) -2(0)

x = 4 . . . . . . . . . simplify

Substituting into the first equation, we have ...

4 +2y = 0

2 +y = 0 . . . . . . divide by 2

y = -2 . . . . . . . . subtract 2

The solution is (x, y) = (4, -2).

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dmitriy555 [2]

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3 years ago

At the beginning of the month, the value of a stock is $78.35. By the end of the month the value of the stock has changed by a l

liberstina [14]

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3 years ago

Let f be a function such that f(x)=5x-3 is defined by the domain 2≤x≤5. The range of the function is

sasho [114]

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Step-by-step explanation:

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3 years ago

A triangle has a perimeter of 31. The longest side is equal to 12. The difference of the other two is 3. What is length of the s

xenn [34]

Answer:

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

let the other 2 sides be x and x - 3 , then

12 + x + x - 3 = 31

2x + 9 = 31 ( subtract 9 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11 and x - 3 = 11 - 3 = 8

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3 0

2 years ago

Find the equation of the plane that is parallel to the vectors left angle 3 comma 0 comma 3 right angle and left angle 0 comma 1

Sholpan [36]

Answer:

$x + 3y -z - 3 = 0$

Step-by-step explanation:

We have to find the equation of plane that is parallel to the vectors

$\langle 3,0,3\rangle, \langle0,1,3\rangle$

The plane also passes through the point (2,0,-1).

Hence, the equation of plane s given by:

$\displaystyle\left[\begin{array}{ccc}x-2&y-0&z+1\\3&0&3\\0&1&3\end{array}\right]\\\\=(x-2)(0-3) - (y-0)(9-0) + (z+1)(3-0)\\=-3(x-2)-9y+3(z+1)\\\Rightarrow -3x + 6 - 9y + 3z + 3 = 0\\\Rightarrow 3x + 9y -3z -9 = 0\\\Rightarrow x + 3y -z - 3 = 0$

It is the required equation of plane.

4 0

3 years ago