SOLUTION: Find two consecutive intergers such that twice the larger increased by the smaller is -34

Question 427589: Find two consecutive intergers such that twice the larger increased by the smaller is -34
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"Find two consecutive intergers such that twice the larger increased by the smaller is -34"

x = first consecutive integer
x + 1 = second consecutive integer

2(x + 1) + x = -34 {twice the larger increased by the smaller is -34}
2x + 2 + x = -34 {used distributive property}
3x + 2 = -34 {combined like terms}
3x = -36 {subtracted 2 from both sides}
x = - 12 {divided both sides by 3}
x + 1 = -11 {substituted -12, in for x, into x + 1}

-11 and -12 are the two consecutive integers
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