Solving System of Linear Equations: 3x

Math Problem Statement

Nilai x dan y yang memenuhi persamaan: {3x - 2y = -4, x + 2y = -4}

The image contains a system of linear equations that needs to be solved:

3x - 2y = -4 \\ x + 2y = -4 \end{cases}$$ ### Steps to solve: 1. **Step 1: Add the equations.** We can add both equations to eliminate $$y$$: $$(3x - 2y) + (x + 2y) = -4 + (-4)$$ This simplifies to: $$4x = -8$$ So, $$x = \frac{-8}{4} = -2$$. 2. **Step 2: Substitute $$x = -2$$ into one of the original equations.** Substitute into the second equation: $$x + 2y = -4$$ $$-2 + 2y = -4$$ Solving for $$y$$: $$2y = -4 + 2 = -2$$ $$y = \frac{-2}{2} = -1$$ ### Final Answer: The solution to the system of equations is $$x = -2$$ and $$y = -1$$. --- Would you like more details on the solution or any specific steps? Here are some related questions for practice: 1. How do you verify the solution for a system of equations? 2. What methods can be used to solve a system of linear equations other than addition? 3. Can you graphically interpret the solution of this system? 4. How would the solution change if the coefficients of $$x$$ were different in both equations? 5. How do you solve systems of equations with three variables? **Tip:** Always check your solution by substituting the values back into the original equations!

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Algebra
System of Linear Equations

Addition method for solving systems of linear equations

Addition (elimination) method

Grades 8-10

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