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Find the value of each variable.

Find the value of each variable.-example-1
User Ember
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Answer: x = 15, y = 10

Explanation:

1. Start by looking at the equation on the left side of the diagram, which is 3x = y + 15.

2. To find the value of x, we can use algebra to isolate it on one side of the equation: x = (y + 15) / 3.

3. Now look at the equation on the right side of the diagram, which is y + 2x = 25.

4. To find the value of y, we can use algebra to isolate it on one side of the equation: y = 25 - 2x.

5. Now we have two equations with two unknowns, x and y. We can substitute our first equation into the second equation in order to solve for x: y = 25 - 2x => y = 25 - 2(y + 15) / 3 => y = 25 - (2y + 30) / 3.

6. Now we have an equation with only the variable y, so we can solve for y by using algebra: 25 - (2y + 30) / 3 => 3y + 90 = 75 => 3y = -15 => y = -5.

7. Now that we know the value of y, we can substitute it into our first equation to find the value of x: x = (y + 15) / 3 => x = (-5 + 15) / 3 => x = 15.

8. Therefore, the values of x and y are x = 15 and y = -5.

User Darrian
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