Question
Find the solution of the system of equations.
![y equals 3 x squared plus 2 x plus 1](data:image/png;base64,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)
![y equals 2 x plus 1](data:image/png;base64,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)
Hint:
The maximum number of solutions for a two degree polynomial is two. The solutions of a quadratic equation are always written in pairs.
We are asked to solve the equation.
The correct answer is: We are asked to solve the equation.
Step 1 of 3:
The LHS of the given set has the same value. So, equate the RHS of the set of equation to eliminate the variable. Thus, we have:
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 3 x squared plus 2 x plus 1 equals 2 x plus 1 space space space space space space end cell row cell 3 x squared plus 2 x minus 2 x plus 1 minus 1 equals 0 end cell row cell 3 x squared equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell end table](data:image/png;base64,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)
Step 2 of 3:
solve the equation,
3x2 = 0
x2 = 0
![x equals 0 straight & x equals 0](data:image/png;base64,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)
That is, the multiplicity of the value is two.
Step 3 of 3:
Substitute the value in any of the equation to get the solution of y,
when x = 0,
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals 2 x plus 1 space space space end cell row cell y equals 2 left parenthesis 0 right parenthesis plus 1 end cell row cell y equals 1 space space space space space space space space space space space end cell end table](data:image/png;base64,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)
Thus, the solution of the set of equation is (0,1).
A set of equation can be solved by graphing them. The points where they intersect are the solutions.
Related Questions to study
Find the solution of the system of equations.
![y equals x squared plus 8 x plus 30](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHgAAAATCAYAAABbV8lLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAArNJREFUeNrtWVFkW1EYvq6ImBgTUbOHEVUzE2NPNVVhKqaqQsweaqYvtYe571V9qFFVMTOjpmamStUeKmLMTMzUmJmqqjB72EPlpQ81EVHS/+dLnZ6dG0nOPbnLdT8+7jn3JPfP+f/z/f9/Y1n/L5pgg/iVOGyFCCRs4hPij3Argo16uAXBxTixHG5DMHEVOThl6PsvEV8Q/0IlPhCv+fybM8QSsQabKsTnxIRi7WXiK+I3cA1zA4ERYhFONoV14jNihBglLmOj/MRnYg72tHAbwSfjE3FKGE9ibiBObqnHaGxq5HYblbupzkAHJ9I4D/WRwaf9oRzFDxQLHUS3l5jFKZGxhHstsHNv9GEjWZrjkoP/aNhtysGcog6luW3ihIvEb4sTj4gritxUcdH9ZgdsB255hoTxY+LLDp5hwsF8Ap4K41HiqobdXjt4CM9hX9yX7h1LMt4Cz1XFCf7glrRokbhgSKqyxAKu7xnIGd1sZBqS3EClfkQcM2R3t0Eq0lGsOW3z+Qtphk/pvjBOEn8RYwZz7Ee0Pz9dVMLS2IxOT/914gbyfesk3MFvT3tgt67SMa4Qp1H4jXfh4H/eG9SE64JLxHhpuIMoS/tYzLx3eX4GlazXduvk4Liiuq+6SHRMlmjGFyTyFCLYNnh676IIKMjVXp8dXO/ynq7dulV0XVFkZRXrJuQii/EW/RRL1oxB53IA7aCI46j87oFE97qRB5b6T4ybyMVe263j4DQKLRHcK79WrH2jCkAH7dKeQecm0f4kpMb8nU8OzsHJGSiWjWtWsDkDdndqVxk9bkSw6Te6HdVLEUd4UTNvubzWnYYBU4acG0XOU70G3HSRmn4gj/anAQksYy/8tJur+CLsqcOJk22KsHWs4zpqTerrz8GO3bVCBBYlNPkhAohbkIQQAcMZmiPI9pZHhi0AAACndEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnk8L21pPjxtbz49PC9tbz48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+KzwvbW8+PG1uPjg8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjMwPC9tbj48L21hdGg+ZI0xqgAAAABJRU5ErkJggg==)
y = 5 - 2x
Find the solution of the system of equations.
![y equals x squared plus 8 x plus 30](data:image/png;base64,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)
y = 5 - 2x
At what rate percent per annum will a sum of money double itself in 10 years?
At what rate percent per annum will a sum of money double itself in 10 years?
Find the solution of the system of equations.
![y equals x squared plus 6 x plus 9](data:image/png;base64,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)
y = 3x
It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.
Find the solution of the system of equations.
![y equals x squared plus 6 x plus 9](data:image/png;base64,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)
y = 3x
It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.
Choose the synonyms of 'research'
Choose the synonyms of 'research'
What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?
What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?
Which of the following is an example of parallel structure?
Which of the following is an example of parallel structure?
Find the solution of the system of equations.
![y equals x squared minus 5 x minus 8](data:image/png;base64,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)
![y equals negative 2 x minus 4](data:image/png;base64,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)
Find the solution of the system of equations.
![y equals x squared minus 5 x minus 8](data:image/png;base64,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)
![y equals negative 2 x minus 4](data:image/png;base64,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)
Consider this simple bivariate data set.
![](data:image/png;base64,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)
a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.
Consider this simple bivariate data set.
![](data:image/png;base64,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)
a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.
Find the solution of the system of equations.
![y equals 6 x squared plus 3 x minus 11](data:image/png;base64,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)
y = 3x - 5
You could solve a set of equations by graphing them. The points where the graphs intersect are the solutions.
Find the solution of the system of equations.
![y equals 6 x squared plus 3 x minus 11](data:image/png;base64,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)
y = 3x - 5
You could solve a set of equations by graphing them. The points where the graphs intersect are the solutions.