Question

Как решить уравнение с двумя неизвестными? Ход решения

Answer 1

Например 2х+6у=18
значит вместо х и у подставляем числа чтоб в ответе получить 18
тоисть 2 * 3 + 6 * 2= 18 
6+ 12= 18

Answer 2

Solving an Equation with Two Unknowns

To solve an equation with two unknowns, you can use the method of substitution or elimination. Here's a step-by-step guide to solving a system of linear equations with two unknowns:

1. Understand the Equations: - First, understand the given equations and identify the coefficients of the variables. The general form of the equations is: - |ax + by = c| - |dx + ey = f|

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2. Solve by Substitution: - Solve one of the equations for one variable in terms of the other and substitute this expression into the other equation. - For example, solve the first equation for x: - x = (c - by) / a - Substitute this value of x into the second equation: - d((c - by) / a) + ey = f

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3. Solve by Elimination: - Multiply one or both equations by appropriate constants to make the coefficients of one of the variables the same or opposite. - Add or subtract the equations to eliminate one of the variables. - Solve for the remaining variable and then substitute its value back to find the other variable.

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4. Find the Solution: - Solve the resulting equation to find the value of one variable. - Once you have the value of one variable, substitute it back into one of the original equations to solve for the other variable.

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5. Check the Solution: - After finding the values of the variables, substitute them back into the original equations to ensure they satisfy both equations.

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6. Example: - Let's consider the system of equations: - 6x + y = 19 - 5x - 3y = 2 - By solving these equations using the methods mentioned above, we find x = 3 and y = 4.

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Remember, the method you choose may depend on the specific equations you are working with. If you have specific equations you'd like to solve, feel free to provide them for further assistance.