Solve the system of equations using matrix method:2x + 3y = 5;4x + 6y = 10a.x = 0, y = 0b.No solutionc.x = 1, y = 1d.Infinite solutions
Question
Solve the system of equations using matrix method:2x + 3y = 5;4x + 6y = 10a.x = 0, y = 0b.No solutionc.x = 1, y = 1d.Infinite solutions
Solution
The given system of equations is:
2x + 3y = 5 4x + 6y = 10
We can write this system of equations in matrix form as follows:
[2 3] [x] = [5] [4 6] [y] [10]
We can see that the second equation is just the first equation multiplied by 2. This means that these two equations are dependent and represent the same line.
Therefore, the system of equations has an infinite number of solutions (option d).
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