algebra problem help (word problems translation )?

hi,

i need help with some word problems .

( translate the problem to a system of equations & then solve.

the greater of two intergers is 10 more than twice the smaller integer. the sum of the two integers is -8. find the integers.

and also.

three times a number added to twice a smaller number is 4. twice the smaller number less than twice the larger number is 6. find the numbers.

Update:

can someone show me how to set this up :(

2 Answers

Relevance
  • 8 years ago

    1.

    a) x=2y+10

    b)x+y=-8

    2y+10+y=-8 > Substitute a into b

    3y=-18 >simplify

    y=-6 >solve

    x=2(-6)+10 >plug back in

    x=-2 >solved

    (-2,-6) > ordered pair

    -2=2(-6)+10 >check #1

    -2=-2 >checked

    -2+-6=-8 >check #2

    -8=-8 >checked

    Number 2 should be similar but is the wording correct?

  • 8 years ago

    x+y=(-8)

    x-10=2y

    3x+2y=4

    2y-2x=6

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