The value of the equation a + b is 12
The system of equations is given as:
3a + 6b = 45
2a - 2b = 12
Multiply the second equation by 1.5
3a - 3b = 18
Subtract this equation from the first equation to eliminate a
9b = 27
Divide by 9
b = 3
Substitute b = 3 in 2a - 2b = 12
2a - 2*3 = 12
Divide through by 2
a - 3 = 6
Add 3 to both sides
a = 9
So, we have:
a + b = 9 + 3
Evaluate
a + b = 12
Hence, the value of the equation a + b is 12
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