Question

How do I solve a linear equation?y=2x+4 y=x-5

Answer 1

x = -9

y = -14

Step-by-step explanation:

We were given the following information:

`\begin{gathered} y=2x+4--------1 \\ y=x-5--------2 \end{gathered}`

We will calculate for the unknown variables using the Substitution Method as shown below:

`\begin{gathered} y=2x+4------1 \\ y=x-5------2 \\ \text{Since the subject of both equations is ''y'', we will proceed to equate both equations. We have:} \\ 2x+4=x-5 \\ \text{Put like terms together. We have:} \\ \text{Subtract ''x'' from both sides, we have:} \\ 2x-x+4=x-x-5 \\ x+4=-5 \\ \text{Subtract ''4'' from both sides, we have:} \\ x+4-4=-5-4 \\ x=-9 \\ \text{Substitute the value of ''x'' into equation 1 or 2 to obtain the value of ''y''. We have:} \\ y=x-5 \\ y=-9-5 \\ y=-14 \\ \\ \therefore x=-9,y=-14 \end{gathered}`

Therefore, x equals -9 & y equals -14

The graphical solution is attached below: