solve by elimination
3x+4y=2
6x+8y=4
stuck!!
solve by the elimination method
7r-3s=-17
3r+7s=59
thanks
solve by elimination
3x+4y=2
6x+8y=4
stuck!!
2nd equation
7r-3s=-17
3r+7s=59
thanks
To solve the system of equations by elimination, you need to eliminate one variable by adding or subtracting the equations. In this case, you can eliminate either x or y by multiplying one equation by a constant to make the coefficient of x or y the same in both equations.
Let's eliminate the x variable by multiplying the first equation by 2:
```
2(3x + 4y) = 2(2)
6x + 8y = 4
```
Now, we have the second equation `6x + 8y = 4` unchanged. We can subtract the two equations to eliminate the x variable:
```
(6x + 8y) - (6x + 8y) = 4 - 4
0 = 0
```
After the elimination, we obtained `0 = 0`, which means the equations are dependent, and there are infinitely many solutions.
This inconsistency occurs because both equations represent the same line when simplified.
Therefore, there are infinitely many solutions to this system of equations.