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The system of equations may be solved by hand calculation or by using the crossing-graphs method.Solve the system of equations shown below by hand calculation.x + y = 4x - y = 6…

The system of equations may be solved by hand calculation or by using the crossing-graphs method.Solve the system of equations shown below by hand calculation.x + y = 4x - y = 6…
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The system of equations may be solved by hand calculation or by using the crossing-graphs method.Solve the system of equations shown below by hand calculation.x + y = 4x - y = 6(x, y) = (____,____)

User Evelyn
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\begin{gathered} x+y=4 \\ x-y=6 \\ An\text{ easy way for solve these equations is by adding both of them. Then,} \\ x+y=4\text{ plus } \\ x-y=6\text{ gives:} \\ 2x=10.\text{ Therefore, x=}(10)/(2),\text{ which gives, x=5.} \\ We\text{ must substitute x=5 in one of the two equations. For examopple, by susbtitiying in the first one, it yields:} \\ 5+y=4 \\ y=4-5 \\ y=-1 \\ \text{The fnal solution is x=5 and y=-1. You can corroborate this result in the second equation.} \end{gathered}

User Rishi Saraf
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