For the given equation, if b=30, then the value of a will be equal to 60.
Like the given equation is a linear equation with two variables (a and b). You can solve this equation replacing b for the informed value (30).
Here it is important to remember the rules to the addition and the mutiplication of integers numbers:
Addition Sign Rules
The rules to addition of numbers are:
+ +
Add Final result (+)
- -
Add Final result (-)
+ -
Subtract Final result (the sign of the integer having greater value )
- +
Subtract Final result (the sign of the integer having greater value )
Multiplication Sign Rules
The rules to multiplication of numbers are:
+ + or - -
The result presents a positive sign (+) because the signs are same.
+ - or - +
The result presents a negative sign (-) because the signs are different.
If b=30, then you can find the value for a from steps below.
[tex]\frac{1}{2}*a +\frac{2}{3} *b=50\\ \\ \frac{1}{2}*a +\frac{2}{3} *30=50\\ \\ \frac{1}{2}*a +2*10=50\\ \\ \frac{1}{2}*a +20=50\\ \\ \frac{1}{2}*a =50-20\\ \\ \frac{1}{2}*a=30\\ \\ a=30*2\\ \\ a=60[/tex]
Read more about rules for adding integers here:
brainly.com/question/18375556
