Example Question - interpreting equations
Here are examples of questions we've helped users solve.
Interpreting a Linear Equation with a Blurry Image
The image shows a math problem with equations and a final solution. Unfortunately, the image is blurry, making it challenging to read the equations clearly. However, I'll try to interpret what is visible and provide the steps you would generally take to solve a simple linear equation issue like this: The last visible equation seems to read: `8x - 6x = -15 + 10` To solve for 'x', you would combine like terms on both sides of the equation: 1. Combine `8x - 6x` which results in `2x`. 2. Combine `-15 + 10` which equals `-5`. The simplified equation would then be: `2x = -5`. Now, to solve for 'x', you divide both sides by 2: `2x / 2 = -5 / 2` `x = -5 / 2` `x = -2.5` So the solution for 'x' should be `-2.5`. However, the final solution in your image is shown as `x = 5`. Given that, either the problem in the image might be different than the part I could interpret, or there appears to be a mistake in the solution provided in the image. To give a precise answer, I would need a clearer image or the correct equations written down explicitly.
Clearing and Solving an Equation
The image depicts an equation that is written somewhat unclearly and upside down. Let me first interpret the equation correctly and then solve it for you. The equation appears to be: \[ \frac{x}{5} + \frac{x}{2} = \frac{7}{10} \] Let's solve it step by step: 1. Find a common denominator for the fractions on the left side of the equation. The least common denominator (LCD) for 5 and 2 is 10. 2. Convert each fraction to an equivalent fraction with the LCD as the denominator: \[ \frac{x}{5} = \frac{2x}{10} \] \[ \frac{x}{2} = \frac{5x}{10} \] The equation now looks like this: \[ \frac{2x}{10} + \frac{5x}{10} = \frac{7}{10} \] 3. Combine the fractions on the left side by adding their numerators: \[ \frac{2x + 5x}{10} = \frac{7}{10} \] Which simplifies to: \[ \frac{7x}{10} = \frac{7}{10} \] 4. Since the denominators are the same, we can set the numerators equal to each other: \[ 7x = 7 \] 5. Divide both sides by 7 to solve for x: \[ \frac{7x}{7} = \frac{7}{7} \] \[ x = 1 \] So the solution to the equation is \( x = 1 \).
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