Chapter 8.10, Problem 7CYU

To determine

The solution of the $y=2x+3$ and $y=1$ by using the substitution method

Answer to Problem 7CYU

The solution of $y=2x+3$ and $y=1$ is $x=y=1$ .

Explanation of Solution

Given:

The two eqn are as:

  $\begin{array}{l}y=2x+3\\ y=1\end{array}$

Calculation:

The two eqns. are described as:

  $y=2x+3$  .... (1)

  $y=1$  .... (2)

Put the value of the $y=1$ in eq. (1):

  $\begin{array}{l}y=2x+3\\ 1=2x+3\\ 2x=2\\ x=1\end{array}$

So, the value of $x=1$ and $y=1$ .

Conclusion:

Hence, the solution of the eqns. is $x=1$ and $y=1$ .