The distance between -7 and 24
2 answers:
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Answer:
1. The equations is inconsistent and has no solution
2. The equations is consistent and has no solution
3. A pen costs $1.50 and a notebook costs $2.00
Step-by-step explanation:
Solving and
--- Equation 1
--- Equation 2
Add 7x to both sides in equation 2
--- Equation 3
Subtract equation 3 from 1
The equations is inconsistent and has no solution
Solving and
-- Equation 1
---- Equation 2
Make y the subject of formula in equation 1
Substitute 4 - 3x for y in equation 2
Collect Like Terms
The equations is consistent and has no solution
3. Solving <em>John and Harry</em>
Given;
<em>Represent Pen with P and Notes with N</em>
John:
Harry:
Required
Find P and N
Make P the subject of formula in equation 2
Substitute in equation 1
Open the bracket
Take LCM
Multiply both sides by 4
Subtract 48 from both sides
Divide both sides by 17
Substitute 2 for N in
<em>Hence, a pen costs $1.50 and a notebook costs $2.00</em>
Answer:
The traveller's speed is 5ft/s and the walkway speed is 3ft/s
Step-by-step explanation:
Given
Represent the traveller's speed with T and the walkway's speed with W.
When the traveller walk against the walkway, we have:
---- i.e. 2ft/s against the walkway
When the traveller walk with the walkway, we have:
---- i.e. 8ft/s with the walkway
Required
Solve for W and T
--- (i)
--- (ii)
Add (i) and (ii)
Divide both sides by 2
Substitute 5 for T in (ii)
Make W the subject
Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s