Solve by Elimination
2x+3y=2
4x+6y=4
I got the answer there are infinitely many solutions
I hope this is correct? Please help
Excellent, that is correct.
The geometrical meaning is that the two equations represent two coincident lines, hence infinitely many solutions.
Thank You
To solve the given system of equations using the method of elimination, we can multiply the first equation by 2 to make the coefficients of x in both equations equal:
2(2x + 3y) = 2(2)
4x + 6y = 4
Now we have two equations with equal coefficients of x, which allows us to eliminate x by subtracting one equation from the other:
(4x + 6y) - (4x + 6y) = 4 - 2
0 = 2
By subtracting the two equations, we ended up with the equation 0 = 2, which is false. This indicates that the system of equations is inconsistent and has no solutions.
Therefore, your original statement is incorrect. The correct conclusion is that there are no solutions to this system of equations.