Question

PLZ HELP STUCK ON THIS QUESTION 4a + 6b = 24 6a - 12b = -6 Given the equations what is the value of a+b? PLZ HELP WILL MARK BRAINLIEST

Answer 1

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