Question

5(t-5) = 7(2t-4)


Help me to answer it​

Answer 1

Answer:

Solution

=

1

3

Step-by-step explanation:

Distribute

5

(

−

5

)

=

7

(

2

−

4

)

{\color{#c92786}{5(t-5)}}=7(2t-4)

5(t−5)=7(2t−4)

5

−

2

5

=

7

(

2

−

4

)

{\color{#c92786}{5t-25}}=7(2t-4)

5t−25=7(2t−4)

2

Distribute

3

Add

2

5

25

25

to both sides of the equation

4

Simplify

5

Subtract

1

4

14t

14t

from both sides of the equation

5

=

1

4

−

3

5t=14t-3

5t=14t−3

5

−

1

4

=

1

4

−

3

−

1

4

5t{\color{#c92786}{-14t}}=14t-3{\color{#c92786}{-14t}}

5t−14t=14t−3−14t

6

Simplify

7

Divide both sides of the equation by the same term

8

Simplify

Answer 2

Answer:

t = 1/3 OR t = 0.33

Step-by-step explanation:

5(t-5) = 7(2t-4)

5t-25 = 14t-28

5t-14t = -28+25

-9t = -3(minus minus will get cancelled)

9t = 3

t = 3/9

t = 1/3 OR t = 0.33