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Simplify 6(x+2)-(4x-14)
the sum of two conicuative integers is -67. find the integer​

User Chongzixin
by
3.8k points

1 Answer

10 votes

#1


\tt \: 6(x + 2) - (4x - 14)

  • Distribute 6 through the parentheses


\tt6x + 12 - 4(4x - 14)

  • Distribute -4 through the parentheses


\tt6x + 12 - 16x + 56

  • Collect like terms


\tt - 10x + 68


\rule{300pt}{3pt}

#2

Let the two integers be x and x+2

ATQ,


\sf \: x + x + 2 = - 67

Let's solve this !~


\sf \: 2x + 2 = - 67


\sf \: 2x = - 67 - 2


\sf \: 2x = - 69


\sf \: x = - (69)/(2)


\sf \: x = - 34.5


\rule{300pt}{3pt}


\large{|\underline{\mathtt{\red{N}\blue{u}\orange{m}\pink{b}\blue{e}\purple{r}\green{\:}\red{1}\blue{:}\orange{-}}}}


\sf = \: x \\ \sf \: = - 34.5


\large{|\underline{\mathtt{\red{N}\blue{u}\orange{m}\pink{b}\blue{e}\purple{r}\green{\:}\red{2}\blue{:}\orange{-}}}}


\sf \: = x + 2 \\ \sf = - 34.5 + 2 \\ \sf \: = - 32.5

User Sundeep
by
3.4k points