Solve the simultaneous equations: 2x + 3y = 5 and 3x + 4y = 12
- 2x + 3y = 52. 3x + 4y = 12
Firstly, you want to have the same amount of x variables, or y variables. To get the same x, we multiply 1. by 3, and multiply 2. by 2, giving us:
3. 6x + 9y = 154. 6x + 8y = 24
Now, subtract 4. from 3. and you get:y = -9
Using this information, substitute it into any of the 4 equations, and solve to find x.
Subbing into 3. gives us:6x + 9(-9) = 156x - 81 = 156x = 96x = 16
