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Solving these equations 125 - 4q1 = 100 - 6q2 = 6Q + 5

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Solving these equations 125 - 4q1 = 100 - 6q2 = 6Q + 5

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EllieElite · Tutor for 8 years

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## Solution<br /><br />The given equations are:<br /><br />```<br />125 - 4q1 = 100 - 6q2 = 6Q + 5<br />```<br /><br />This is a system of three equations. To solve it, we can break it down into two separate equations:<br /><br />1. 125 - 4q1 = 6Q + 5<br />2. 100 - 6q2 = 6Q + 5<br /><br />Let's solve each equation separately.<br /><br />### Equation 1: 125 - 4q1 = 6Q + 5<br /><br />To isolate `q1`, we can rearrange the equation as follows:<br /><br />```<br />4q1 = 125 - 6Q - 5<br />```<br /><br />Then, divide both sides by 4 to solve for `q1`:<br /><br />```<br />q1 = (125 - 6Q - 5) / 4<br />```<br /><br />### Equation 2: 100 - 6q2 = 6Q + 5<br /><br />Similarly, to isolate `q2`, we can rearrange the equation as follows:<br /><br />```<br />6q2 = 100 - 6Q - 5<br />```<br /><br />Then, divide both sides by 6 to solve for `q2`:<br /><br />```<br />q2 = (100 - 6Q - 5) / 6<br />```<br /><br />Now, you have `q1` and `q2` in terms of `Q`. To find the specific values, you would need additional information or constraints on `Q`.<br /><br />Please note that the solution might vary depending on the context of the problem. If `Q`, `q1`, and `q2` are related in a specific way, you might need to use that relationship to find the solution.
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