How do you solve the following system: #-3y + x = -3, -5x − y = 14 #?
5 * Eqn(1) + Eqn (2) is
Substituting value of y in Eqn (1),
Here's our system:
Solving By Substitution
First, let's solve for a variable. I'll choose x, since it appears first. We'll solve for x by using the first equation:
Add 3y to both sides in order to negate -3y. You should now have:
Now, substitute this value in the second equation:
Distribute -5 to all terms in the parentheses. Remember negative and positive multiplication rules. (Two negatives make a positive!)
Now, combine like terms.
Now, subtract 15 from both sides in order to solve for y.
Now, divide by
Because two negatives make a positive,
Now, plug y in the simplified equation used to solve for x earlier:
Multiply 3 by 1/16 to get 3/16.