Can someone explain to me why they are multiplying equation (1) by 2 and equation (2) by 3?

We are multiplying the equations by 2 and 3 because we need to find the lowest common multiple for equation 1 and 2.

After multiplying both sides of the equation (we have to multiply both sides so the equation is still correct- remember to do so, its a common mistake), one of the equations have 24y and the other has -24 y.

We are able to add the two equations together to cancel out the y. After, we can solve them like a normal one variable equation.

For equations with more than 1 variable, need multiple equations. 2 variable, need to 2 equations, 3 needs 3, it goes on. Using multiple equations, we can add and subtract them, or substitute until we have a one variable equation where we can easily solve. Then we plug the variable back into the original equations to get the other variables.

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.