Question

8÷x=11÷9 4(x+3)-3(x-3)=20

Answer 1

Ответ:

8x=1194(x+3)−3(x−3)=208 over x end fraction equals 11 over 94 end fraction open paren x plus 3 close paren minus 3 open paren x minus 3 close paren equals 20\(\frac{8}{x}=\frac{11}{94}(x+3)-3(x-3)=20\)

Answer 2

Let's solve each equation step by step:

1. 8÷x = 11÷9

To solve for x, you can cross-multiply:

8 * 9 = 11 * x

72 = 11x

Now, divide both sides by 11 to isolate x:

x = 72 / 11

x ≈ 6.5455 (rounded to four decimal places)

So, the solution to the first equation is approximately x ≈ 6.5455.

2. 4(x+3) - 3(x-3) = 20

First, distribute the constants to the terms inside the parentheses:

4x + 12 - 3x + 9 = 20

Now, combine like terms:

(4x - 3x) + (12 + 9) = 20

x + 21 = 20

Subtract 21 from both sides to isolate x:

x = 20 - 21

x = -1

So, the solution to the second equation is x = -1.

Therefore, the solutions to the given equations are approximately x ≈ 6.5455 and x = -1.