Answer:
a = 3, b = -1
Step-by-step explanation:
a = 5b + 8
a = -10b - 7
5b + 8 = -10b - 7
Add 10b from both sides;
15b + 8 = -7
Subtract 8 from both sides;
15b = -15
Divide both sides by 15;
b = -1
Lets substitute b;
a = 5b + 8
a = 5(-1) + 8
a = -5 + 8
a = 3
For this case we must raise the equation according to the given statement.
Let the variable "x" be the unknown number.
So, three times the number is: 
If to that term is added "6" we have:
The sum of both terms is "12", then:
Thus, the equation is:
Answer:
Use what we know to make equations in order to solve for each governor's salary.
A=governor of state A
B=governor of state B
A+b=283,910. (Their salaries combined)
A=B+50,440 (A earns 50,440 more than B)
Sub A into the original formula to solve for B
B+50,440+b=283,910
2B=283,910-50,440
2B=233,470
B=116,730
Sub B into the formula that's equal to A
A=B+50,440
A=116,735+50,440
A=167,175
I hope this helps!
