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Debora [2.8K]
2 years ago
11

If after 45 minutes han cycled for 6 miles and claire cycled for 9 miles what will the difference between them be after 45 minut

es
Mathematics
1 answer:
IceJOKER [234]2 years ago
5 0

Answer:

The difference between them will be 6.

Step-by-step explanation:

When they went for their first round of cycling, which was 45 minutes, it was already a distance of 3 miles adding another 6 to Han's miles and another 9 to Claire's miles it would give you 18 and 12 and 18 minus 12 is 6.

Therefore, it was doubled from the distance only being 3 miles to 6 miles.

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Answer:

<h2>x = 2, y = 6 → (2, 6)</h2>

Step-by-step explanation:

\bold{ELIMINATION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8\\y=x+4&\TEXT{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}y=-x+8\\-y=-x-4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad0=-2x+4\qquad\text{add}\ 2x\ \text{to both sides}\\.\qquad2x=4\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}

\bold{SUBSTITUTION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8&(1)\\y=x+4&(2)\end{array}\right\\\\\text{Substitute (1) to (2)}\\\\-x+8=x+4\qquad\text{subtract 8 from both sides}\\-x=x-4\qquad\text{subtract}\ x\ \text{from both sides}\\-x-x=-4\\-2x=-4\qquad\text{divide both sides by (-2)}\\\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}

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3 years ago
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