Solve the System of Equations y=3x^2-7x+1 y=-4x+19

Solve the System of Equations y=3x^2-7x+1 y=-4x+19
Eliminate the equal sides of each equation and combine.
Solve for .
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Move all terms containing to the left side of the equation.
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Add to both sides of the equation.
Add and .
Subtract from both sides of the equation.
Subtract from .
Factor the left side of the equation.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor.
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Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Remove unnecessary parentheses.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set equal to and solve for .
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Set equal to .
Add to both sides of the equation.
Set equal to and solve for .
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Set equal to .
Subtract from both sides of the equation.
The final solution is all the values that make true.
Evaluate when .
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Substitute for .
Substitute for in and solve for .
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Remove parentheses.
Simplify .
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Multiply by .
Add and .
Evaluate when .
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Substitute for .
Substitute for in and solve for .
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Remove parentheses.
Simplify .
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Multiply by .
Add and .
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 three hundred seventy-two million sixty-six thousand sixty-one

Interesting facts

  • 372066061 has 8 divisors, whose sum is 384290048
  • The reverse of 372066061 is 160660273
  • Previous prime number is 3361

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 31
  • Digital Root 4

Name

Name one billion four hundred fifty-seven million eight hundred thirty-two thousand five hundred seventy-six

Interesting facts

  • 1457832576 has 1024 divisors, whose sum is 33336178560
  • The reverse of 1457832576 is 6752387541
  • Previous prime number is 271

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 48
  • Digital Root 3

Name

Name one billion four hundred seventy-eight million one hundred thirty-five thousand one hundred seventy-one

Interesting facts

  • 1478135171 has 4 divisors, whose sum is 1498383672
  • The reverse of 1478135171 is 1715318741
  • Previous prime number is 73

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2