SOLUTION: a first number plus twice a second number is 22. Twice the first number plus the second total 17. Find the numbers.
Algebra.Com
Question 530972: a first number plus twice a second number is 22. Twice the first number plus the second total 17. Find the numbers.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
x + 2y = 22
2x +y = 17
.
Multiply the 2nd equation by 2 and subtract
.
x + 2y = 22
4x +2y = 34
------------- subtract
-3x = -12
.
x = 4
.
Substitute to find y.
.
4 + 2y = 22
2y = 18
y = 9
.
Check these values using the 2nd equation.
4(4) + 2(9) = 34 ??
16 + 18 = 34
Correct.
.
Answer: The two numbers are 4 and 9.
.
Done.
RELATED QUESTIONS
a first number plus twice a second number is 22. Twice the first number plus the second... (answered by robertb)
A first number plus twice a second number is 8. Twice the first number plus the second... (answered by josgarithmetic,rothauserc)
A first number plus twice a second number is 8. Twice the first number, plus the second... (answered by mananth)
A first number plus twice a second number is 5. Twice the first number plus the second... (answered by jim_thompson5910)
A first number plus twice a second number is 13. Twice the first number plus the second... (answered by macston)
A first number plus twice a second number is 8. Twice the first number, plus the second,... (answered by Fombitz)
A first number plus twice a second number is 2. Twice the first number plus the second... (answered by josgarithmetic)
A first number plus twice a second number is 11. Twice the first number plus
the second... (answered by Edwin McCravy,ikleyn)
A first number plus twice a second number is 8. Twice the first number plus the second... (answered by josgarithmetic)