Looking at this, I think the easiest (personally) way to solve it would be using the Substitution method. Meaning we have to rearrange ONE equation, to make ONE variable ( x or y) the subject. (1) 2.5x + y = -2 (2) 3x +2y = 0
The first equation is the easiest to rearrange. Make Y the subject for (1). Thus, y = -2.5x - 2 Substitute this into equation (2). ∴ 3x + 2(-2.5x - 2) = 0 Expand and simplify: 3x - 5x - 4 = 0 ∴ -2x - 4 = 0 Making x the subject: -2x = 4 x = -2 From here, we need to substitute x=-2 into equation (1) or (2) to solve for the y-value. I would say the easiest way, would be to rearrange one, to make y the subject, which was what we did earlier. Thus, y = -2.5x - 2 y = ((-2.5(-2) -2) y = 3 (X,Y) x = -2, y = 3 Answer: (-2,3)
