SOLUTION: How do I solve using two equations with two variables? The units digit of a two-digit number is 4 times the tens digit. If the digits are reversed, the new number is 54 more th

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Question 141498This question is from textbook Prentice hall algebra 1
: How do I solve using two equations with two variables?
The units digit of a two-digit number is 4 times the tens digit. If the digits are reversed, the new number is 54 more than the original number. Find the number.
This question is from textbook Prentice hall algebra 1

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
IN MATH THERE IS NO SUCH THING AS 'CLOSE'.
CLOSE ONLY COUNTS IN HORSE-SHOES & HAND-GRENADES.
MATH IS A VERY PRECISE SYSTEM WITH 1 & ONLY 1 CORRECT ANSWER.
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Y=4X [Y BEING THE UNITS DIGIT & X BEING THE TENS DIGIT.]
10X+Y=10Y+X-54 NOW REPLACE Y WITH 4X AND SOLVE FOR X IN THIS EQUATION
10X+4X=10*4X+X-54
14X=40X+X-54
14X=41X-54
14X-41X=-54
-27X=-54
X=-54/-27
X=2 ANSWER FOR THE TENS DIGIT IN THE ORIGINAL NYMBER.
Y=4*2=8 FOR THE UNITS DIGIT.
PROOF
28=82-54
28=28


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