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3 years ago

Solve the system using substitution.

Mathematics

2 answers:

Galina-37 [17]3 years ago

8 0

Answer:

no solutions

Step-by-step explanation:

if y=2x-5

and y=2x+7

2x-5=2x+7

-5 is not equal to 7

aleksklad [387]3 years ago

8 0

Answer:

no solution.

Explaination:

solve for the very first variable in your equation and then you would substitute the result into the other equation. by doing so, you should get no solution.

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3 years ago

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .

The given equation is $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We have to break 22 which is in right side into various parts according to the left side of the equation.

$x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36$

$x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36$

$x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36$

$x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36$

$(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$

Hence the equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Learn more about equations at brainly.com/question/2972832

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1 year ago

A 40-foot pipe is cut into three sections. The longest section is three times as long as the shortest, and the middle-sized sect

PtichkaEL [24]

Answer:

P=40

a + b + x = P

a = 3x

b = x + 5

substitute for b & y

3x + (x+5) + x = 40

Step-by-step explanation:

longest section 1 = a

mid length section 2 = b

shortest section 3 = x

P=40

a + b + x = P

a = 3x

b = x + 5

substitute for b & y

3x + (x+5) + x = 40

5x + 5 = 40

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x = 7

b = 12

a = 21

5 0

3 years ago