Question

Solve the system, or show that it has no solution. If the system has infinitely many solutions,

express them in the ordered-pair form given in Example 6.

$\begin{array}{l}3x+2y=8\\ x-2y=0\end{array}$

Short answer

Hence, the solution of the system of equations $\begin{array}{l}3x+2y=8\\ x-2y=0\end{array}$is the ordered pair

Step-by-step solution

Step 1. Given information.

Given a system of equations$\begin{array}{l}3x+2y=8\\ x-2y=0\end{array}$ substitution method.

Step 2. Write down the concept.

Given equation,

$x=2y$

$3x+2y=8$

$6y+2y=8$

$8y=8$

We are dividing both sides by 8,

$y=1$

Step 3. Determining the angle

We are substituting equation y in equation (3),

$x=2\left(1\right)$

$x=2$