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Chapter 3: Q3. (page 126)

Solve the equation. Check your solution.13=2y-3(y+4)

Short Answer

Expert verified

The solution for the equation 13=2y鈭�3(y+4)is localid="1650416876257" y=-25.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

13+12=2y鈭�3y鈭�12+1225=2y鈭�3y鈭�y=25

02

– Solve for y

Now, multiply both sides of the equation by -1.

鈭�y(鈭�1)=25(鈭�1)y=-25

Therefore, the solution of the equation isy=-25.

03

– Check the solution 

To check the solution, write the original equation and substitute the value ofy.

13=2y鈭�3(y+4)

Now, substitute y=25and check the result.

13=2(鈭�25)鈭�3((鈭�25)+4)13=鈭�50鈭�3(鈭�21)13=鈭�50+6313=13

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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