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The correct answer is 
Write the problem in long division format,
Divide 74 by 11 to get 6,
Multiply the quotient digit (6) by the divisor 11,
Subtract 66 from 74,
Bring down the next number of the dividend,
Divide 86 by 11 to get 7,
Multiply the quotient (7) by the divisor 11,
subtract 77 from 86.
Answer:
x² + 10x + 12 = 36
x² +10x + 12-36 = 0
x² + 10x - 24 = 0
now by factorization;
x² + 12x - 2x - 24 = 0
x(x+12) -2(x+12) = 0
(x+12)(x-2) = 0
Now, x+12 = 0 and x-2 = 0
x = -12 and x = 2
x= -12, 2
Thus the values for x is -12 and 2.
The system has one solution, so it is consistent independent. The graphs intersect at the point (2, 8), which can be checked algebraically.
Complete a table of values for each line.
The point (2, 8) is the solution to the system of equations. Since (2, 8) is the solution to the system of equations, Lucia has 2 dimes
and 8 nickels.
hope it helps :) feel free to ask anymore questions
Answer:
15
Step-by-step explanation:
Let's call Leah's age l and Rachel's age r. We can write:
l = 3r - 2 (1)
l + 3 = 2(r + 3) + 7 (2)
Substituting (1) into (2) we get:
(3r - 2) + 3 = 2(r + 3) + 7
3r + 1 = 2r + 13
r = 12
In 3 years Rachel will be 12 + 3 = 15 years old.