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The key to finding the y value in a system of equations lies in solving the equations simultaneously to obtain the value of “y.” This involves manipulating the equations, often using methods such as substitution or elimination, to cancel out one variable and isolate the desired variable. Once the y-value is determined, it can be substituted back into any of the original equations to verify the solution.<\/p>\n
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Method 1: Substitution<\/em><\/strong><\/p>\n<\/p>\n
Substitution involves expressing one variable in terms of the other and substituting the expression into the other equation. To find the y value using this method:<\/p>\n
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<\/p>\n- Choose one equation and solve it for either x or y in terms of the other variable.<\/li>\n
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- Substitute the expression obtained in step 1 into the other equation.<\/li>\n
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- Solve the resulting equation for the remaining variable.<\/li>\n
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- The obtained value represents the y value in the system of equations.<\/li>\n
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Method 2: Elimination<\/em><\/strong><\/p>\n<\/p>\n
Elimination involves adding or subtracting the equations to eliminate one variable and solve for the remaining variables. To find the y value using this method:<\/p>\n
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<\/p>\n- Choose two equations and multiply them by appropriate constants to create equal coefficients for either x or y.<\/li>\n
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- Add or subtract the equations to eliminate one variable.<\/li>\n
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- Solve the resulting equation for the remaining variable.<\/li>\n
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- The obtained value represents the y value in the system of equations.<\/li>\n
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