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​​ALGEBRA eXAMPLES

Finding Two Numbers

2/27/2011

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Find two numbers with a sum of -66 and a difference of -116.

x = one number
y = other number

x + y = -66 {sum is -66}
x - y = -116 {difference is -116}
------------
2x = -182 {added the two equations together}
x = -91 {divided both sides by 2}

x + y = -66 {top equation}
-91 + y = -66 {substituted -91, in for x, into top equation}
y = 25 {added 91 to both sides}

Two numbers are -91 and 25

*To check*
-91 + 25 = -66 {sum is -66}
-91 - 25 = -116 {difference is -116}

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