Solve the simultaneous equation using graph method. x + y = 2, x − y = 4

• If $x = 0$, then $0 + y = 2 \implies y = 2$. So, point is $(0, 2)$.
• If $y = 0$, then $x + 0 = 2 \implies x = 2$. So, point is $(2, 0)$. Plot these points and draw a line through them.

• If $x = 0$, then $0 - y = 4 \implies y = -4$. So, point is $(0, -4)$.
• If $y = 0$, then $x - 0 = 4 \implies x = 4$. So, point is $(4, 0)$. Plot these points and draw a line through them on the same graph.

The point where the two lines intersect on the graph is the solution to the simultaneous equations. From the graph provided, the lines intersect at the point $(3, -1)$.

To verify:
For $x=3, y=-1$:
Equation 1: $3 + (-1) = 2$ (True)
Equation 2: $3 - (-1) = 4$ (True)

The solution is the coordinates of the intersection point.