2x+3y=4
4x+6y=9
Elimination method
-4x -6y = -8
4x+6y=9
0= 1
No solution
thank you i understand it a little more than before
To solve this system of equations, you can use the method of substitution or elimination. Let's use the method of substitution.
First, let's solve one of the equations for one variable in terms of the other variable. In this case, let's solve the first equation for x:
2x + 3y = 4
Subtract 3y from both sides:
2x = 4 - 3y
Divide both sides by 2:
x = (4 - 3y) / 2
Now, substitute this expression for x into the second equation:
4x + 6y = 9
Replace x with (4 - 3y) / 2:
4((4 - 3y) / 2) + 6y = 9
Multiply both sides by 2 to eliminate the fraction:
4(4 - 3y) + 12y = 18
Distribute the 4:
16 - 12y + 12y = 18
Combine like terms:
16 = 18
Since these two values are not equal, there is no solution that satisfies both equations simultaneously. This means that the system of equations is inconsistent, and there is no intersection point between the two lines represented by the equations.