SOLUTION: eight times a number plus five times another number is -13.the sum of the two numbers is 1.what are the numbers.
please help me solve this its about elimination using multipli
Algebra.Com
Question 257029: eight times a number plus five times another number is -13.the sum of the two numbers is 1.what are the numbers.
please help me solve this its about elimination using multiplication.i think
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x = "a number
Let y = "another number"
:
Write an equation for each statement:
:
"eight times a number plus five times another number is -13."
8x + 5y = -13
:
"the sum of the two numbers is 1."
x + y = 1
:
what are the numbers.
We can us elimination here if you want.
:
Multiply the above equation by 5 and subtract from the 1st equation
8x + 5y = -13
5x + 5y = 5
----------------Subtraction eliminates y find x
3x = -18
x =
x = -6
:
Find x using x + y = 1
-6 + y = 1
y = 1 + 6
y = 7
:
Solution x = -6, y = 7
:
:
Check solution in the 1st statement
eight times a number plus five times another number is -13
8(-6) + 5(7) =
-48 + 35 = -13; confirms our solutions
RELATED QUESTIONS
Eight times a number plus five times another number is -13. The sum of the two numbers is (answered by Sam32399)
Eight times a number plus five times another number is -13. The sum of the two numbers is (answered by Theo)
Eight times a number plus five times another number is -13. The sum of the two numbers is (answered by josgarithmetic)
eight times a number plus five time another number is -13. The sum of the two numbers is... (answered by macston)
two times a number plus three times another number equals 13. the sum of the two numbers... (answered by jonvaliente)
Two times a number plus three times another number equals 13. The sum of the two numbers... (answered by praseenakos@yahoo.com)
two times a number plus three times another number equals 13. the sum of the two numbers... (answered by JenniferTutors)
Five times a number plus another number is 12. Their difference is 6. What are the two... (answered by robertb)
Seven times a number plus three times another number equals negative one. The sum of the... (answered by Fombitz)