radomes.openskiesproject.org
help123456789 help123456789
  • 22-07-2015
  • Mathematics
Answered

The difference of two numbers, a and b, is 21. The difference of 5 times a and two times b is 18. What are the values of a and b

Verified Answer :

konrad509
konrad509 konrad509
  • 22-07-2015

\(a-b=21 |\cdot(-2)\\ 5a-2b=18\\\\ -2a+2b=-42\\ \underline{5a-2b=18}\\ 3a=-24\\ a=-8\\\\ -8-b=21\\ b=-29\)

Answer Link
naǫ
naǫ naǫ
  • 22-07-2015

\(a-b=21 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times (-2) \\ 5a-2b=18 \\ \\ -2a+2b=-42 \\ \underline{5a-2b=18 \ \ \ \ \ \ \ } \\ 5a-2a=18-42 \\ 3a=-24 \\ a=\frac{-24}{3} \\ a=-8 \\ \\ a-b=21 \\ -8-b=21 \\ -b=21+8 \\ -b=29 \\ b=-29\)

a=-8 and b=-29.

Answer Link

Related Questions

HELPPP ASAPPP PLZ Which system has no solution A4y 2x 6 B3x 5y 7 4x 2y 5 C2y 4x 2 D2x 5y 4 15y 6x 12
How would becoming a parent now affect your goals for the future
What issues did Washington believe were most dangerous to the future of the new nation
When firms cut back productionGroup of answer choicesA They employ fewer people so unemployment fallsB They employ fewer people so unemployment risesC They empl
24 divided by 22 times 5
what is the composition of gases in the exosphere
Is 23 greater than 78
Sir Francis Bacon is known for
Consider the chemical equilibrium of the reaction: $NH_4 OH(aq) \Leftrightarrow NH_4^{+}(aq) + OH^{-}(aq)$ What will happen to the chemical equilibrium if $
23 of 500000 dollars is what amount exactly