Answer:
a + b = 5
Step-by-step explanation:
To solve this system of equations, we can use a strategy called elimination, which is when we get rid of a variable by adding/subtracting two equations.
Firstly, we want to make sure the absolute value of the coefficients that equal.
Lets eliminate b:
4a + 6b = 24
Multiply both sides by 2:
8a + 12b = 48
We also have:
6a - 12b = -6.
Now lets add that with
8a + 12b = 48
-> 6a + 8a + 12b - 12b = 48 -6
-> 14a = 42
-> a = 3
Now that we know a, lets plug it into one of our original equations:
4(3) + 6b = 24
12 + 6b = 24
6b = 12
b = 2
Finally, add the two values we found:
a+b = 2+3= 5
