Question

How do you solve the system \[\mathbf{y}=\mathbf{4x}\mathbf{-5}\] and \[\mathbf{x}=\mathbf{2}\] by substitution?

Answer 1

Hint: Put \[x=2\] in the given equation \[y=4x-5\] then determine the value of value and solve the equation.
Like any two equation \[y=5x+5\] if here, \[x-2=0\] so, value of \[x\] will be \[2\], if we put \[x=2\] in given equation we will get, \[y=5x+5\] we will get, \[y=\left( 5\times 2 \right)+5=10+5=15\]
Hence, apply this concept to solve the equation given in the question.

Complete step by step solution:
As per data given in the equation,
We have equation,
\[y=4x-5\]
As here, we have to put \[x=2\]
When we put the value of \[x=2\] in the given equation,
We will get,
\[\Rightarrow \]\[y=4x-5\]
As here value of \[x\] is \[2\]
So, we will get,
\[\Rightarrow \]\[y=\left( 4\times 2 \right)-5\]
Applying the BODMAS rule we will get,
\[\Rightarrow \]\[y=8-5\]
\[\Rightarrow y=3\]

Note: While transferring the digits or constants or any variables or numbers from left hand side to right hand side, make sure you are reversing its symbol.
For any mathematical operation, always follow only the BODMAS rule.