Can You help me please?
1 answer:
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Answer:
696 miles at the first day, and 174 miles at the second day.
Step-by-step explanation:
Given:
Richard and Linda enjoy visiting Hilton Head Island, South Carolina.
The distance from their home to Hilton Head is 870 miles.
So, the drive takes them 2 days.
<u>Richard and Linda travel four times as far the first day as they do the second day.</u>
Question asked:
How many miles do they travel each day?
Solution:
Let Richard and Linda traveled at the first day =
Then Richard and Linda traveled at the second day will be =
Total distance from their home to Hilton Head = 870 miles
Traveled at the first day in miles + Traveled at the second day = 870
By substituting the value:
Richard and Linda traveled at the first day = = 174 miles
Richard and Linda traveled at the second day will be =
Therefore, they traveled 696 miles at the first day and 174 miles at the second day.
(x , y) = (7, - 1)
2x + 3y = 11 → (1)
3x + 3y = 18 → (2)
subtracting (1) from (2) term by term eliminates the y- term
(3x - 2x) + (3y - 3y) = (18 - 11)
x + 0 = 7 ⇒ x = 7
substitute x = 7 into either of the 2 equations and solve for y
(1) → (2 × 7) + 3y = 11
14 + 3y = 11
subtract 14 from both sides
3y = 11 - 14 = - 3
divide both sides by 3
= - 1
solution is (7 , -1)