Answer:
Governor of state A makes $172,860.
Governor of state B makes $123,510.
Explanation:
Let the governor of state A be denoted by the variable x.
Let the governor of state B be denoted by the variable y.
Set the system of equations:
x = 49350 + y
x + y = 296370
First, plug in 49350 + y for x in the second equation, and then simplify:
x + y = 296370
(49350 + y) + y = 296370
Combine like terms:
49350 + (y + y) = 296370
49350 + 2y = 296370
Isolate the variable, y. Do the opposite of PEMDAS. Note the equal sign, what you do to one side, you do to the other.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
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First, subtract 49350 from both sides of the equation:
2y + 49350 (-49350) = 296370 (-49350)
2y = 296370 - 49350
2y = 247020
Next, divide 2 from both sides of the equation:
(2y)/2 = (247020)/2
y = 247020/2
y = 123510
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Plug in 123510 for y in one of the equations given in the system of equation:
x = 49350 + y
x = 49350 + 123510
x = 172860
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Check. Plug in 123510 for y, and 172860 for x in the given equation:
x + y = 296370
(172860) + (123510) = 296370 (True).
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