Mathematics
IsauraLattanzio
2016-04-16 16:30:27
1/4x + 1/3y = 5 1/2x + 3/2y = 11 Which of the following expressions represents the Multiplicative Property of Equality? 3x + 4y = 60; x + 3y = 22 3x + 8y = 60 ; x + 3y = 22 x + 2y = 60 ; x + 3y = 22 4x + 3y = 60 ; 2x + 2y = 22
ANSWERS
francscquiroz
2016-04-16 19:06:13

Multiplicative property of equality states that if a and b are 2 equal expressions, or numbers, then if we multiply both by a non zero expression c, then the results are again equal. So if a=b, then ac=bc. The first equality is  (i) [latex] frac{1}{4}x+ frac{1}{3}y=5 [/latex] multiplying both sides by 12, we have: [latex]12* frac{1}{4}x+ 12*frac{1}{3}y=12*5 [/latex] 3x+4y=60 The second equality is  [latex] frac{1}{2}x+ frac{3}{2}y=11 [/latex] multiplying by 2 we get x+3y=22 Answer: 3x+4y=60; x+3y=22 (the first one only)

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