How do you solve #y-6x=22# and #4y+17=-11x# using substitution?
Solving through Substitution
First, we want to solve for a variable that can be easily found. Then, we'll plug the variable in to solve for the variables. Let's start with finding what y is since it looks easy to solve for.
Add 6x to both sides to negate
Substitute in this value for y in the second equation to solve for the variables:
Combine like terms.
Divide by -35 to solve for x.
Now, plug this variable back into this equation to solve for y:
Confirm this by plugging it back into the two equations:
Confirmed: these are the correct variables.
See a solution process below:
Step 1) Solve the first equation for
Step 2) Substitute
Step 3) Substitute
The Solution Is: