Question

Solve the following equation by transposition method and check your answer:
1. 15y + 4y -3 = 21 - 2y + 8​

Answer 1

Answer:

$\large\boxed{y=\frac{32}{21}=1.52}$

Step-by-step explanation:

To solve this problem, first you have to identify by a variable of y. Remember to solve this problem, isolate by the y on one side of the equation.

Given:

15y+4y-3=21-2y+8

Solution:

First, only had to do is add similar to elements from left to right.

$\displaystyle 15y+4y=19y$

Rewrite the problem down.

$\displaystyle 19y-3=21-2y+8$

Secondly, combined like terms. (group like terms or switch sides from equation.)

$\displaystyle 19y-3=-2y+21+8$

Thirdly, add the numbers from left to right.

$\displaystyle 21+8=29$

$\displaystyle 19y-3=-2y+29$

Next, add 3 from both sides.

$\displaystyle 19y-3+3=-2y+29+3$

Solve.

Add the numbers from left to right.

$\displaystyle 29+3=32$

$\displaystyle 19y=-2y+32$

Then, add add 2y from both sides.

$\displaystyle 19y+2y=-2y+32+2y$

Solve.

$\displaystyle 19y+2y=21y$

$\displaystyle 21y=32$

Now, divide by 21 from both sides.

$\displaystyle \frac{21y}{21}=\frac{32}{21}$

Solve.

$\large\boxed{y=\frac{32}{21} }$

You can also divide numbers from left to right.

$\displaystyle 31\div21=\boxed{1.52}$

As a result, the correct answer is y=32/21=1.52.

Answer 2

Step-by-step explanation:

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