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10. \( x+2 y=4 \)

Ask by Morrison Estrada. in the United States
Jan 22,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( x = 4 - 2y \)

Solution

Solve the equation \( x+2y=4 \). Solve the equation by following steps: - step0: Solve for \(x\): \(x+2y=4\) - step1: Move the expression to the right side: \(x=4-2y\) The solution to the equation \(x+2y=4\) is \(x=4-2y\).

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Extra Insights

Let's solve the equation \( x + 2y = 4 \) for \( y \). Rearranging gives us \( 2y = 4 - x \), and divising by 2, we find \( y = 2 - \frac{x}{2} \). This is a linear equation, which means it represents a straight line on a graph, where the y-intercept is 2 and the slope is -0.5. Now, if we set \( x = 0 \), then \( y = 2 \); setting \( y = 0 \) would give \( x = 4 \). So, the graph of this equation will cross the y-axis at (0, 2) and the x-axis at (4, 0), creating a visual representation of a line that slopes downward from left to right. Graphing helps visualize linear relationships!

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