Solve for x. Assume that lines which appear tangent are tangent.
1 answer:
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Answer:
(- 2, 6 )
Step-by-step explanation:
Given the equations
3x + 2y = 6 → (1)
y - x = 6 ( multiply through by 3 to clear the fraction )
2y - 3x = 18 ( add 3x to both sides )
2y = 18 + 3x → (2)
Substitute 2y = 18 + 3x into (1)
3x + 18 + 3x = 6
6x + 18 = 6 ( subtract 18 from both sides )
6x = - 12 ( divide both sides by 6 )
x = - 2
Substitute x = - 2 into (1) and solve for y
3(- 2) + 2y = 6
- 6 + 2y = 6 ( add 6 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (- 2, 6 )
Answer:
You have to invest $6,250
Step-by-step explanation:
very simple applying the simple interest formula which is
Given data
A, final amount = $10,000
P, initial principal balance= ?
r, annual interest rate = 7.5%
t, time (in years)= 8 years
we can substitute our given data to find the principal needed.
Divide both sides by 1.6 we have
P= $6,250