The sum of two numbers is 8. Two times the larger number plus four times the smaller number is 8. Find the numbers.
1 answer:
Answer: 12 and -4
Step-by-step explanation:
Assume the larger number is x and the smaller one is y.
In that case the relevant simultaneous equations are:
x + y = 8
2x + 4y = 8
Use substitution to find relative value of y:
x + y = 8
y = 8 - x
Use to solve equation:
2x + 4y = 8
2x + 4(8 - x) = 8
2x + 32 - 4x = 8
2x - 4x= 8 - 32
-2x = -24
x = -24 / -2
x = 12
y = 8 - x
= 8 - 12
= -4
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