Answer:
Dan is 29. Cary is 36.
Step-by-step explanation:
Let Dan's age now be D.
Let Cary's age now be C.
"Cary is 7 years older than Dan."
C = D + 7
"In 7 years the sum of their ages will be 79. "
In 7 years, the ages of Dan and Cary will be D + 7 and C + 7, respectively.
D + 7 + C + 7 = 79
C + D + 14 = 79
C + D = 65
C = D + 7
The last two equations in bold above form a system of equations. Since the second equation is already solved for C, we use the substitution method.
D + 7 + D = 65
2D + 7 = 65
2D = 58
D = 29
C = D + 7
C = 29 + 7
C = 36
Answer: Dan is 29. Cary is 36.
Answer:
x = -24
Step-by-step explanation:
First, distribute 2 to all terms within the parenthesis:
2(x + 11) =
2 * x = 2x
2 * 11 = 22
2x + 22 = -26
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
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First, subtract 22 from both sides of the equation:
2x + 22 (-22) = -26 (-22)
2x = -26 - 22
2x = -48
Next, divide 2 from both sides of the equation:
(2x)/2 = (-48)/2
x = -48/2
x = -24
x = -24 is your answer.
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X=7
10x-2=9x+5
X=7
Lol it says I need more characters to submit this
(15, -8) :)
From C to midpoint you do (+10, -7), so you have to do that again to get to D
