Question

Systems of Equations ReviewUse elimination (by addition) to solve this system:S 3x + y = 181-3x + 7y = 6What is The solution to the system

Answer 1

To solve this system using elimination (by addion), we need to multiply by some number so that if we sum both equations, one of the variables will be eliminated, and then we can solve for the other variable. Then, we can proceed as follows:

We can see that we do not need to multiply any equation by any number since if we sum 3x-3x we have zero as a result, and then we have to find the value for y. Now, we need to divide both sides of the equation by 8 to isolate the value of y:

`8y=24\Rightarrow(8y)/(8)=(24)/(8)\Rightarrow y=3`