0,5x - 1,4 y = 33 dan 0 dan 0,35x - 0,12 y = 5,9 adalah (x,y). Maka nilai x-y=

We have the system of equations:

1. \( 0.5x - 1.4y = 33 \)
2. \( 0.35x - 0.12y = 5.9 \)

To solve for \( x \) and \( y \), we can use the substitution or elimination method. Let's proceed with the elimination method by first eliminating one of the variables.

### Step 1: Eliminate one of the variables
We will eliminate \( x \). First, multiply both equations to make the coefficients of \( x \) the same. Multiply equation (1) by 0.35 and equation (2) by 0.5:

- Equation (1) multiplied by 0.35:
  \[
  0.35 \times (0.5x - 1.4y) = 0.35 \times 33
  \]
  \[
  0.175x - 0.49y = 11.55
  \]

- Equation (2) multiplied by 0.5:
  \[
  0.5 \times (0.35x - 0.12y) = 0.5 \times 5.9
  \]
  \[
  0.175x - 0.06y = 2.95
  \]

### Step 2: Subtract the equations
Now subtract the second equation from the first to eliminate \( x \):

\[
(0.175x - 0.49y) - (0.175x - 0.06y) = 11.55 - 2.95
\]

Simplifying this:

\[
-0.49y + 0.06y = 11.55 - 2.95
\]
\[
-0.43y = 8.6
\]

Solving for \( y \):

\[
y = \frac{8.6}{-0.43} = -20
\]

### Step 3: Substitute \( y = -20 \) into one of the original equations
Substitute \( y = -20 \) into equation (1):

\[
0.5x - 1.4(-20) = 33
\]
\[
0.5x + 28 = 33
\]
\[
0.5x = 33 - 28
\]
\[
0.5x = 5
\]
\[
x = \frac{5}{0.5} = 10
\]

### Step 4: Find \( x - y \)
Now that we know \( x = 10 \) and \( y = -20 \), we can find \( x - y \):

\[
x - y = 10 - (-20) = 10 + 20 = 30
\]

Thus, the value of \( x - y \) is \( 30 \).

---

Would you like further explanation on any step?

### Related Questions:
1. How do you solve a system of equations using substitution?
2. What is the elimination method in solving systems of equations?
3. How can we verify the solution to a system of equations?
4. What is the determinant method for solving systems of linear equations?
5. How are systems of equations applied in real-life scenarios?

### Tip:
In systems of linear equations, multiplying the equations to align the coefficients helps in eliminating variables efficiently when using the elimination method.

0,5x - 1,4y = 33 dan 0,35x - 0,12y = 5,9 adalah (x,y). Maka nilai x-y=

Learn how to solve the system of linear equations 0.5x - 1.4y = 33 and 0.35x - 0.12y = 5.9 using the elimination method. This step-by-step solution will help you find the value of x-y, including detailed algebraic manipulations. Suitable for students in Grades 10-12.

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