What are x and y if #y = 4x + 3# and #2x + 3y = -5#?
put 1 in 2
Through substitution or elimination, we can determined that
There are two ways to algebraically solve for
Method 1: Substitution
Through this method, we solve to a variable in one equation and plug it in to the other. In this case, we already know the value of
Now, we just need to plug
Method 2: Elimination
Through this method, the equations are subtracted so that one of the variables is eliminated. To do this, we must isolate the constant number. In other words, we put
Now, the equations are both in the same form. However, to eliminate one of the variables, we must get
Next, we can subtract the two equations.
As with the first method, we plug this value back in to find