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Question
Math
Posted 3 months ago
Solve the system of equations.
13x6y=22x=y+6x=y=
\begin{array}{l}
13 x-6 y=22 \\
x=y+6 \\
x=\square \\
y=\square
\end{array}
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Answer from Sia
Posted 3 months ago
Solution by Steps
step 1
Substitute the second equation x=y+6x = y + 6 into the first equation 13x6y=2213x - 6y = 22
step 2
Replace xx with y+6y + 6 in the first equation to get 13(y+6)6y=2213(y + 6) - 6y = 22
step 3
Simplify the equation: 13y+786y=2213y + 78 - 6y = 22
step 4
Combine like terms to get 7y+78=227y + 78 = 22
step 5
Subtract 78 from both sides to get 7y=567y = -56
step 6
Divide both sides by 7 to solve for yy: y=8y = -8
step 7
Substitute y=8y = -8 back into the second equation x=y+6x = y + 6 to find xx
step 8
Solve for xx: x=8+6x = -8 + 6
step 9
Simplify to find x=2x = -2
Answer
x=2x = -2 and y=8y = -8
Key Concept
Substitution Method
Explanation
To solve a system of equations where one equation is already solved for one variable, substitute that expression into the other equation and solve for the remaining variable.

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