The equations 2x+3y=7,14x+21y=49 hasinfinitely many solutionsa unique solutionno solutionfinitely many solutions
Question
The equations 2x+3y=7,14x+21y=49 hasinfinitely many solutionsa unique solutionno solutionfinitely many solutions
Solution
The given equations are:
- 2x + 3y = 7
- 14x + 21y = 49
First, let's simplify the second equation by dividing all terms by 7:
2x + 3y = 7
Now, we can see that the two equations are identical. This means that they represent the same line in the coordinate plane.
Therefore, the system of equations has infinitely many solutions.
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