Answer: x = 7 and y = 8
Step-by-step explanation: The pair of simultaneous equations given shall be solved by one of three known methods which are graphical method, substitution method and elimination method. When all of the unknown variables have a coefficient greater than 1, we shall use the elimination method which applies in this particular question.
6x + 5y = 82 ———(1)
2x + 5y = 54 ———(2)
Since the y variable has the same coefficient in both equations, we shall eliminate it by subtracting one equation from the other. Subtract equation (2) from equation (1) and we now have
4x = 28
Divide both sides of the equation by 4
x = 7
Having calculated x, substitute for the value of x into equation (1)
6x + 5y = 82
6(7) + 5y = 82
42 + 5y = 82
Subtract 42 from both sides of the equation
5y = 40
Divide both sides of the equation by 5
y = 8
Therefore x = 7 and y = 8
