Question

Solve the system of equations using the graphing or substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.

Answer 1

We want to solve the equation

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

Using substitution

So looking at what we have, we can equate both equations to get x, we have

`\begin{gathered} 2x-4=4x-6 \\ collecting\text{ like terms} \\ 4x-2x=-4+6 \\ 2x=2 \\ x=(2)/(2) \\ x=1 \end{gathered}`

Substituting x for 1 into the first equation, we have

`\begin{gathered} y=2x-4 \\ y=2(1)-4 \\ y=2-4 \\ y=-2 \end{gathered}`

Hence x = 1 and y = -2

The answer in ordered pair is (1,-2)