Question

Solve the following system of equations using substitution: 3x - y = 46x - 2y = 8

Answer 1

Infinite solutions

`y=3x-4`

Explanation:

We have the following system of equations:

`\begin{gathered} 3x-y=4 \\ 6x-2y=8 \end{gathered}`

We solve by means of substitution:

`\begin{gathered} -y=4-3x\rightarrow y=-4+3x \\ \text{ substituting:} \\ 6x-2\cdot(-4+3x)=8 \\ 6x+8-6x=8 \\ 6x-6x=8-8 \\ 0=0 \end{gathered}`

Therefore, the system has infinite solutions, determined like this:

`y=3x-4`