Question

При каком значении b уравнения будут равносильными: 2x-9=3 и x+3b=-10?

Answer 1

2x-9=3

2x=12

x=6

6+3b=-10

3b=-16

b=-5, 1/3 (пять целых одна третья)

Answer 2

Solving the Equation for Equivalent Values of b

To find the values of b for which the equations 2x-9=3 and x+3b=-10 are equivalent, we can solve the second equation for x and then substitute it into the first equation. This will allow us to solve for b.

First, let's solve the second equation for x: x + 3b = -10 x = -3b - 10

Now, substitute x = -3b - 10 into the first equation: 2(-3b - 10) - 9 = 3 -6b - 20 - 9 = 3 -6b - 29 = 3 -6b = 3 + 29 -6b = 32 b = -32/6 b = -16/3

Therefore, the value of b for which the equations 2x-9=3 and x+3b=-10 are equivalent is b = -16/3.