Answer
$(2,1)$
Work Step by Step
We can solve the system of equation using the graphical method and then confirm with algebraic operations.
(a) Graphical method: read the coordinates of the intersection of the two lines, we get $x=2, y=1$, thus, the solution is $(2,1)$
(b) Confirm with algebraic operations:
Step 1. Use elimination method: multiply the second equation by $-2$ to get $-2x+4y=0$,
Step 2. Add the result to the first equation to get $7y=7$ or $y=1$.
Step 3. Back-substitute the result to the second equation, we have $x=2y=2$
Step 4. The solution to the system is $(2,1)$
