Question

Уравнение 30+40:(y-37)=50

Answer 1

30 + 40 : (у - 37) = 50

40 : (у - 37) = 50 - 30

40 : (у - 37) = 20

у - 37 = 40 : 20

у - 37 = 2

у = 2 + 37

у = 39

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Проверка: 30 + 40 : (39 - 37) = 50

                   30 + 40 : 2 = 50

                   30 + 20 = 50

                   50 = 50

Answer 2

To solve the equation 30 + 40 ÷ (y - 37) = 50, we need to follow the order of operations (also known as PEMDAS/BODMAS).

First, we deal with the parentheses. Since there are no operations inside the parentheses, we can move to the next step.

Next, we perform the division. The expression becomes:

30 + 40 ÷ (y - 37) = 50

30 + (40 / (y - 37)) = 50

Now, we have an equation with addition and division. To isolate the variable, we can subtract 30 from both sides:

30 + (40 / (y - 37)) - 30 = 50 - 30

40 / (y - 37) = 20

To eliminate the division, we can multiply both sides by (y - 37):

(y - 37) * (40 / (y - 37)) = 20 * (y - 37)

40 = 20 * (y - 37)

Next, we distribute the 20 on the right side:

40 = 20y - 740

Now, we can isolate the variable by moving the constant term to the other side:

20y = 740 + 40

20y = 780

Finally, we solve for y by dividing both sides by 20:

y = 780 / 20

y = 39

Therefore, the solution to the equation 30 + 40 ÷ (y - 37) = 50 is y = 39.