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| Summary |
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 Finding the solution by the method of substitution. |
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| (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factors. |
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| (ii) By addition or subtraction, this variable (x) is eliminated. |
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| (iii) The value of the other variable (y) is obtained and by substitution we obtain x. |
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Method of substitution |
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| We get x in terms of y (or y in terms of x) from one of the equations and substitute in the other equation. Thus one of the variables is eliminated and we proceed as in the previous case. |
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In problems involving two unknowns, we replace them by x and y. We express the given conditions algebraically in the form of two linear equations and solve for x and y. |
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