Solve the System of Equations 2(x-1/3)-3/2(y-1/6)=0 3(y-1/2)+8/3(x-1/6)=0

Solve the System of Equations 2(x-1/3)-3/2(y-1/6)=0 3(y-1/2)+8/3(x-1/6)=0
Solve for in .
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Simplify .
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Simplify each term.
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Apply the distributive property.
Multiply .
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Multiply by .
Combine and .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Move the negative in front of the fraction.
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add to both sides of the equation.
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Simplify each term.
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Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Multiply and .
Multiply by .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Multiply and .
Multiply by .
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify the left side.
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Simplify .
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Find the common denominator.
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Write as a fraction with denominator .
Multiply by .
Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify each term.
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Apply the distributive property.
Multiply .
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Multiply by .
Combine and .
Move the negative in front of the fraction.
Apply the distributive property.
Multiply by .
Multiply .
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Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Apply the distributive property.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Apply the distributive property.
Multiply by .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Add and .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Subtract from .
Move the negative in front of the fraction.
Simplify the numerator.
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To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply by .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Multiply and .
Multiply by .
Solve for in .
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Set the numerator equal to zero.
Solve the equation for .
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Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Divide by .
Add to both sides of the equation.
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Simplify each term.
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Combine and .
Multiply by .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Multiply and .
Multiply by .
Simplify terms.
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Combine the numerators over the common denominator.
Add and .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
The solution to the system is the complete set of ordered pairs that are valid solutions.
The result can be shown in multiple forms.
Point Form:
Equation Form:
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Name

Name two million two hundred forty-nine thousand six hundred twenty-six

Interesting facts

  • 2249626 has 4 divisors, whose sum is 3374442
  • The reverse of 2249626 is 6269422
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 7
  • Sum of Digits 31
  • Digital Root 4

Name

Name one billion seven hundred twenty-six million two hundred seventy-five thousand six hundred one

Interesting facts

  • 1726275601 has 4 divisors, whose sum is 1730783232
  • The reverse of 1726275601 is 1065726271
  • Previous prime number is 383

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1

Name

Name four hundred seventy-two million six hundred sixty-three thousand nine hundred fifty-three

Interesting facts

  • 472663953 has 8 divisors, whose sum is 543292200
  • The reverse of 472663953 is 359366274
  • Previous prime number is 29

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 45
  • Digital Root 9