24x + 2y = 52 (1)
6x + 3y = -36 (2)
Divide the first equation by 2 (both sides).
Divide the second equation by 3 (both sides). You will get an equivalent system
12x + y = 26 (1')
2x + y = -12 (2')
Now distract the second equation from the first one.
In this way you eliminate "y" and get a single equation for x:
12x - 2x = 26 - (-12),
10x = 26 + 12 = 38 ---> x = = 3.8.
Next, from (2') y = -12 - 2*3.8 = -19.6.
Answer. x = 3.8, y = -19.6.
The method I applied here is called the Elimination method.
