Question12) Solve the system of equations by the elimination method: 13) Solve the system of equations by the substitution method:
Studdy Solution
Verify the solution by substituting and into the second equation:
Simplify:
The solution is correct.
**Problem 13: Substitution Method**
STEP_1:
Write down the system of equations:
\begin{align*}
2x - 3y &= -8 \\
y &= -3x - 1
\end{align*}
Substitute the expression for from the second equation into the first equation:
STEP_2:
Simplify and solve for :
Combine like terms:
Subtract 3 from both sides:
Divide by 11:
STEP_3:
Substitute back into the expression for :
Simplify:
STEP_4:
Verify the solution by substituting and into the first equation:
Simplify:
The solution is correct.
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