One number is five less than a second number. Six times the first is 10 more than 2 times the second. Find the numbers.

5 and 10

Step-by-step explanation:

let the first be a and second b

a+5=b first equation

6a=10+2b second equation

a=b-5 from the first equation

put a=b-5 into the second

6(b-5)=10+2b

6b-30=10+2b

collect the like terms

4b=40

b=10

a=b-5

a=10-5=5

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

the answer

b. they are parallel and will never intersect.