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What shoul...
3 years ago
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Earnestine Connelly
1 Answer
Professional Engineer with years of experience, especially in tutoring
Assuming this is a question about solving a set of equations.
If the coefficients of a variable are the same, the easiest way to solve it is to multiply one equation with -1, and then add that and the other equation together. Since the coefficients of a variable are now opposite, they will add to zero, thereby resulting in a single equation to solve.
Example:
[1] y+2x = 4
[2] -4y+2x = -6 |*(-1)
[2] 4y-2x = 6
[1] + [2] 5y+0 = 10
y = 2
2+2x = 4
x = 1
Solution: (1, 2)
Note: there is the usual way of solving any set of equations, (by substituting a variable for its expression), but in cases where you have the same or opposite coefficients of a variable, this method is the easier alternative.
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