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

SOLUTION

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

$\begin{gathered} 2x-4=4x-6 \\ collecting\text{ like terms} \\ 4x-2x=-4+6 \\ 2x=2 \\ x=\frac{2}{2} \\ x=1 \end{gathered}$

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)