SOLUTION: Solve the system by substitution.
3x – y = –7
x + y = –9
Algebra.Com
Question 81452: Solve the system by substitution.
3x – y = –7
x + y = –9
Answer by mathdoc316(9) (Show Source): You can put this solution on YOUR website!
Step 1: Isolate one variable, using one of the equations
Step 2: Substitute that into the other equation to eliminate the variable
Step 3: Solve that resulting equation for the remaining variable
Step 4: Solve for the variable that was eliminated
Step 5: Check the solution
Step 1 will be easy here if we use the 2nd equation, , to isolate a variable. It could easily be x or y. Let's just do x since it doesn't matter that much.
Step 2: Substitute that expression for x into the first equation
Step 3: Simplify and solve for y
Add 27 to both sides
Divide both sides by -4
Step 4: Find x
Step 5: Check the solution
,
YES
YES
The solution is correct
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