Answer:
The required value of \(x\) and \(y\) are -8 and -1 respectively.
Step-by-step explanation:
Given information
Equation number (1) \(y=3x-5\)
Equation number (2) \(y=2x-6\)
Now , according to the substitution method of solving linear equation,
we need to find the value of \(x\) from equation (1) and substitute in equation (2).
so, from equation (1)
\(y=3x-5\\3x=y+5\\x=(y+5)/3\)
Now, substitute the value of \(x\) in equation (2)
\(y=2x-6\\y=2((y+5)/3)-6\)
\(y=((2y+10)/3)-6\\3y=2y+10-18\)
\(3y-2y=10-18\)
on solving the above equation we get the value of \(y\) as:
\(y=-8\)
Now, substitute the value of \(y\) in equation (1) to get the value of \(x\)
\(y=3x-5\\-8=3x-5\\3x=-8+5\\3x=-3\\x=-3/3\)
on solving the above equation we get the value of \(x\) as:
\(x=-1\)
Hence, the required value of \(x\) and \(y\) are -8 and -1 respectively.
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