Question

10. Which point is the solution for this System of equation?

Answer 1

Our X and Y make (2,-1)

Explanation:

To find the point that is the solution for the system of equation, we must use the SUBSTUITION property,

`2x+x-3=3\\`

Now let's solve this, by adding common terms

`2x+x=3x\\3x-3=3`

Now we have to isolate the variable,

3x-3=3

Add 3 to both sides (opposite of the current)

3x=6 (DIVIDE three to both sides, to isolate the variable)

x=2 ( We know our x value is 2)

Now let's substitute this value into the Y.

y = 2-3 ( now subtract)

y= -1

Our X and Y make (2,-1)