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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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
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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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