Question

X+9/3 -x/5=1 дробью 4-5(3x+2,5)=3x+9,5 в строчьку

Answer 1

X+3-x/5=1=4x=5-15=4x-10=4/5

Answer 2

To solve the equations, we need to find the value of 'x' that satisfies both of them. Let's first simplify and solve each equation step by step:

Equation 1: $\frac{X + 9}{3} - \frac{X}{5} = 1$

Step 1: Find a common denominator for the fractions, which is 15. Step 2: Rewrite the fractions with the common denominator. Step 3: Combine like terms. Step 4: Solve for 'x'.

Equation 2: $\frac{4 - 5(3x + 2.5)}{3} = 3x + 9.5$

Step 1: Distribute the -5 to the terms inside the parentheses. Step 2: Combine like terms on the left side of the equation. Step 3: Solve for 'x'.

Now let's solve both equations:

Equation 1:

$\frac{X + 9}{3} - \frac{X}{5} = 1$

Step 1: Find a common denominator, which is 15.

$\frac{5(X + 9)}{15} - \frac{3X}{15} = 1$

Step 2: Combine like terms.

$\frac{5X + 45 - 3X}{15} = 1$

Step 3: Simplify the left side.

$\frac{2X + 45}{15} = 1$

Step 4: Solve for 'x'.

$2X + 45 = 15$

$2X = 15 - 45$

$2X = -30$

$X = \frac{-30}{2}$

$X = -15$

Equation 2:

$\frac{4 - 5(3x + 2.5)}{3} = 3x + 9.5$

Step 1: Distribute the -5 to the terms inside the parentheses.

$\frac{4 - 15x - 12.5}{3} = 3x + 9.5$

Step 2: Combine like terms on the left side of the equation.

$\frac{-15x - 8.5}{3} = 3x + 9.5$

Step 3: Multiply both sides by 3 to eliminate the fraction.

$-15x - 8.5 = 9x + 28.5$

Step 4: Move 'x' terms to one side and constant terms to the other side.

$-15x - 9x = 28.5 + 8.5$

$-24x = 37$

Step 5: Solve for 'x'.

$x = \frac{37}{-24}$

So the solution to the system of equations is $X = -15$ and $x = \frac{37}{-24}$.