Question

Arrange the equations in order from least to greatest based on their solution plz

Answer 1

The equations arranged in order from least to greatest based on their solution is  Equation B < Equation C < Equation A

For Equation A

$5(x-6) + 3x = \frac{3}{4}(2x-8)$

First, clear the fraction by multiplying through by 4

$4\times 5(x-6) + 4\times3x = 4\times\frac{3}{4}(2x-8) \\20(x-6) + 12x = 3(2x-8)$

Now, clear the brackets

$20x-120 + 12x = 6x-24$

Collect like terms

$20x+ 12x-6x = -24+120$

Then,

$26x = 96$

Divide both sides by 26

$\frac{26x}{26}= \frac{96}{26} \\x = 3.69$

∴ For Equation A, $x =3.69$

For Equation B

$2.7(5.1x+4.9) =3.2x+28.9$

First, clear the bracket

$13.77x+13.23 =3.2x+28.9$

Now, collect like terms

$13.77x-3.2x =28.9-13.23\\10.57x = 15.67$

Divide both sides by 10.57

$\frac{10.57x}{10.57}= \frac{15.67}{10.57} \\x = 1.48$

∴ For Equation B, $x=1.48$

For Equation C

$5(11x-18)=3(2x+7)$

First, clear the brackets

$55x-90=6x+21$

Now, collect like terms

$55x-6x=90+21$

Then,

$49x = 111$

Divide both sides by 49

$\frac{49x}{49} = \frac{111}{49}\\x = 2.27$

∴ For Equation C, $x=2.27$

For Equation A, $x =3.69$

For Equation B, $x=1.48$

For Equation C, $x=2.27$

Arranging the solutions from the least to greatest, we get

1.48 < 2.27 < 3.69

∴ Equation B < Equation C < Equation A

Hence, the equations arranged in order from least to greatest based on their solution is  Equation B < Equation C < Equation A

Learn more here: brainly.com/question/9696219