The sum of two numbers is 188. The difference is 54. How do you find the numbers using a system of equations?
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Step-by-step explanation: Make x and y the two numbers and form a simultaneous equation.
x + y = 188
x - y = 54
because the y in equation 1 is positive while the y in equation 2 is negative they cancel each other out. You end up with the equation:
2x = 242
x = 242/2
x= 121
Substitute the value of x into equation 1
x + y = 188
121 + y = 188
y = 188 - 121
y = 67
Answer: x = 121, y = 67
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