Given the following equation:
4x + y = 23
3x - y = 12
Let's determine the solution by Elimination Method:
Step 1: Add the two-equation to eliminate y and be left with terms with the x variable.
4x + y = 23
+ 3x - y = 12
7x + 0 = 35
7x = 35
7x/7 = 35/5
x = 7
At x = 7, let's determine the value of y. Let's use 4x + y = 23.
4x + y = 23
y = 23 - 4x
y = 23 - 4(7)
y = 23 - 28
y = -5
Therefore, the solution to the given system of equations is (7,-5). We can also say that this is the point where the graph of the two equations intersects.