Question

Identify the coordinate point that makes both equations true. y = 2x + 6 y = x - 2

Answer 1

Answer: We have to identify the coordinate points that make both equations true, given two equations are:

`\begin{gathered} y=2x+6\rightarrow(1) \\ y=x-2\rightarrow(2) \end{gathered}`

We will solve it by substitution method, which we are doing next.

Solution by substitution

By substituting (2) in (1) We get the following solution for x, once we have 'x' we then solve for 'y'.

`\begin{gathered} x-2=2x+6 \\ \therefore\rightarrow \\ x=-8 \\ \therefore\rightarrow \\ y=(-8)-2=-10 \\ \therefore\rightarrow \\ (x,y)=(-8,-10) \end{gathered}`

Therefore this is the coordinate point in question!