The sum of two numbers is zero.
x + y = 0
y = -x
<span>Twice the smaller number subtracted from 3 times the larger number is 10.
Let x represent the larger number and y represent the smaller number.
Twice the smaller number: 2y
3 times the larger number: 3x
</span>Twice the smaller number subtracted from 3 times the larger number is 10.
3x - 2y = 10
-2y = -3x + 10
y = 3/2 x - 5
The equations are:
y = -x
y = 3/2 x - 5
The answer is the first choice.
Answer:
2.8 hours
Step-by-step explanation:
Distance = rate * time
If the west-bound train travels at a rate of 80 mph for t hours, then the distance it travels is 80t.
If the east-bound train travels at a rate of 90 mph for t hours, then the distance it travels is 90t.
The distance between the trains after t hours is 476; therefore, the distance of the west-bound train plus the distance of the east-bound train equals the total distance between them, 476:
80t + 90t = 476 and
170t = 476 so
t = 2.8 hours
Any irrational number, for example the square root of 2 or pi.
