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Solve the system using the substitution method x-9y equals 65 and 6y-8x equals 8?
Wiki User
∙ 7y ago
The solution to the system of equations x-9y=65 and 6y-8x=8 is (-7,-8).
The easiest way to do substitution is to find the variable that can be isolated the easiest, that is, get either x or y alone. The easiest variable to get alone is the x in the first equation. All you need to do is add 9y to each side. Working through the substitution:
The system of equations:
x-9y=65
6y-8x=8
Step 1: Get a variable alone
x-9y=65
x-9y+9y=65+9y
x=9y+65
Step 2: Substitute into the other equation
6y-8x=8
6y-8(9y+65)=8 → Expand
6y-72y-520=8 → Combine like terms
-66y-520=8 → Add 520 to both sides
-66y=8+520 → Simplify
-66y=528 → Divide by -66 to find y
y=-8
Step 3: Substitute y=-8 into the first equation
x=9y+65
x=9(-8)+65
x=-72+65
x=-7
The solution to the system of equations x-9y=65 and 6y-8x=8 is (-7,-8).
Wiki User
∙ 7y ago
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