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3 years ago

Solving by elimination7x-y=192x-3y=19

Mathematics

2 answers:

Anvisha [2.4K]3 years ago

8 0

Answer:

2x + y = -2, x + 2y = 2

4x + y - 2z = 0, 2x+ 3z = 9 , -6x - 2y + z = 0

x + y = 4 , x - y = 2

Step-by-step explanation:

grigory [225]3 years ago

3 0

Answer:

x=2 and y=−5

Step-by-step explanation:

Let's solve your system by elimination.

7x−y=19;2x−3y=19

Multiply the first equation by -3,and multiply the second equation by 1.

−3(7x−y=19)

1(2x−3y=19)

Becomes:

−21x+3y=−57

2x−3y=19

Add these equations to eliminate y:

−19x=−38

Then solve−19x=−38for x:

−19x=−38

(Divide both sides by -19)

x=2

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

7x−y=19

Substitute2forxin7x−y=19:

(7)(2)−y=19

−y+14=19(Simplify both sides of the equation)

−y+14+−14=19+−14(Add -14 to both sides)

−y=5

y=-5

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an aeroplane is flying with a help of 300 km per hour who much distance will it cover in 160 minute

uysha [10]

Answer:

800 km

Step-by-step explanation:

Does the plane have a speed of it's own? I don't see it, so will assume the plane is simply travelling at 300 km/h.

(300 km/hr)*(1 hr/60 min) = 5 km/min

(5 km/min)*(160 min) = 800 km in 160 minutes

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2 years ago

What is the standard form polynomial representing the volume of this shipping container?

harina [27]

Answer:

Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)

Step-by-step explanation:

Container given in the picture is in the shape of a cuboid.

And volume of a cuboid is measured by the expression,

Volume of a cuboid = Length × width × height

Now substitute the measure of the container's dimensions given in the picture

Volume = (4x² + 3x)(x²- 8)(6x + 15)

= [(4x² + 3x)(x²- 8)](6x + 15)

= [4x²(x² - 8) + 3x(x² - 8)](6x + 15)

= (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)

= (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)

= 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)

= 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x

= 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x

8 0

3 years ago

Read 2 more answers

What is the sum of 4.2•10^5 and 5.3• 10^5

sleet_krkn [62]

If my math is correct, it should be 950,000

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4 years ago

Which expression is a sum of cubes?

erik [133]

we know that

A polynomial in the form $a^{3} +b^{3}$ is called a sum of cubes

Let's verify each case to determine the solution

case A) $-64x^{6} y^{12} +125x^{16} y^{3}$

we know that

$-64=-4^{3}$

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{16}=x^{15} *x=x*(x^{5})^{3}$ -------> is not a perfect cube

$y^{3}= (y)^{3}$

therefore

the case A) is not a sum of cubes

case B) $-32x^{6} y^{12} +125x^{16} y^{3}$

we know that

$-32=-2^{5}$ -------> is not a perfect cube

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{16}=x^{15} *x=x*(x^{5})^{3}$ -------> is not a perfect cube

$y^{3}= (y)^{3}$

therefore

the case B) is not a sum of cubes

case C) $32x^{6} y^{12} +125x^{9} y^{3}$

we know that

$32=2^{5}$ -------> is not a perfect cube

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{9}=(x^{3})^{3}$

$y^{3}= (y)^{3}$

therefore

the case C) is not a sum of cubes

case A) $64x^{6} y^{12} +125x^{9} y^{3}$

we know that

$64=4^{3}$

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{9}=(x^{3})^{3}$

$y^{3}= (y)^{3}$

Substitute

$4^{3}(x^{2})^{3}(y^{4})^{3} +5^{3}(x^{3})^{3}(y)^{3}$

$(4x^{2}y^{4})^{3} +(5x^{3}y)^{3}$

therefore

the answer is

$64x^{6} y^{12} +125x^{9} y^{3}$ is a sum of cubes

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3 years ago

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In triangle ABC, angle A is 59 degrees & the side length adjacent to angle A is 19. Find the side length opposite angle A

NikAS [45]

Answer:

about 31.62 units

Step-by-step explanation:

tan(59)=x/19

x=19tan(59)

x=31.62

4 0

3 years ago

Solving by elimination7x-y=192x-3y=19​

Solving by elimination7x-y=192x-3y=19