Question

1/4+у=3/7 , у-5/12=3/10

Answer 1

Ответ:

1)1/4+y=3/7

y=3/7-1/4

y=12/28-7/28

y=5/28

2)y-5/12=3/10

y=3/10+5/12

y=18/60+25/60

y=43/60

Answer 2

To solve the equations, let's work through each one step by step:

1. 1/4 + у = 3/7

To get rid of the fraction, we need to find a common denominator. The least common multiple of 4 and 7 is 28. We can multiply both sides of the equation by 28 to eliminate the fractions:

28 * (1/4) + 28 * у = 28 * (3/7)

7 + 28у = 12

Next, let's isolate у by moving the constant term to the other side:

28у = 12 - 7

28у = 5

Finally, divide both sides of the equation by 28 to solve for у:

у = 5/28

2. у - 5/12 = 3/10

Again, we need to find a common denominator, which is 60 (the least common multiple of 12 and 10). Multiply both sides of the equation by 60:

60 * у - 60 * (5/12) = 60 * (3/10)

60у - 25 = 18

Now, isolate у by moving the constant term to the other side:

60у = 18 + 25

60у = 43

Divide both sides of the equation by 60 to find the value of у:

у = 43/60

So, the solutions to the given equations are:

у = 5/28

у = 43/60