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Crazy boy [7]
3 years ago
5

Need help ASAP!

Mathematics
2 answers:
LekaFEV [45]3 years ago
7 0
Int this problem you will have 3 equations since BOTH expressions are inside absolute values they can be equal IF they are both negative, both positive or one of each.
Setup as follows
5y - 2 = 4y + 7          5y - 2 = -(4y + 7)        -(5y - 2) = 4y + 7
5y = 4y + 9               5y - 2 = -4y - 7            -5y + 2 = 4y + 7
y = 9                         5y = -4y - 5                 -5y = 4y + 5
                                 9y = -5                        -9y = 5
                                 y = -5/9                        y = -5/9

We just have 2 solutions (since one repeated) of y = 9 and -5/9
Sav [38]3 years ago
6 0
Simplifying
5y + -2 = 4y + 7

Reorder the terms:
-2 + 5y = 4y + 7

Reorder the terms:
-2 + 5y = 7 + 4y

Solving
-2 + 5y = 7 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
-2 + 5y + -4y = 7 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-2 + 1y = 7 + 4y + -4y

Combine like terms: 4y + -4y = 0
-2 + 1y = 7 + 0
-2 + 1y = 7

Add '2' to each side of the equation.
-2 + 2 + 1y = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 1y = 7 + 2
1y = 7 + 2

Combine like terms: 7 + 2 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9
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<em>Hence the daughter's present age is 15 years</em>

<em>The fathers present age is 35 years</em>

<em></em>

Step-by-step explanation:

Let the present age of daughter be x

Let the present age of father be y

5 years ago;

Daughter's age = x - 5

Fathers age = y - 5

If the present age of father is thrice as old as the age of daughter 5 years ago, then;

y - 5 = 3(x-5)

y - 5 = 3x-15

y = 3x - 10 .... 1

In 5 years time;

Daughters age = x + 5

Fathers age = y + 5

If the age of father will be twice the age of his daughter in 5 years time then;

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Equate 1 and 2;

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3x - 2x = 5 + 10

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Since y = 2x + 5

y = 2(15) + 5

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<em>Hence the daughter's present age is 15 years</em>

<em>The fathers present age is 35 years</em>

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