Question

3
drag each tile to the correct box.
arrange the equations in order from least to greatest based on their solution.
equation a: $5(x - 6) + 3x = \frac{3}{4}(2x - 8)$
equation b: $2.7(5.1x + 4.9) = 3.2x + 28.9$
equation c: $5(11x - 18) = 3(2x + 7)$
equation a equation b equation c
$\square$ < $\square$ < $\square$

Explanation:

Step1: Solve Equation A

Expand and simplify: \(5(x - 6)+3x=\frac{3}{4}(2x - 8)\)
\(5x - 30 + 3x=\frac{3}{2}x - 6\)
\(8x - 30=\frac{3}{2}x - 6\)
Multiply by 2: \(16x - 60 = 3x - 12\)
\(13x = 48\)
\(x=\frac{48}{13}\approx3.69\)

Step2: Solve Equation B

Expand: \(2.7(5.1x + 4.9)=3.2x + 28.9\)
\(13.77x + 13.23 = 3.2x + 28.9\)
\(10.57x = 15.67\)
\(x\approx1.48\)

Step3: Solve Equation C

Expand: \(5(11x - 18)=3(2x + 7)\)
\(55x - 90 = 6x + 21\)
\(49x = 111\)
\(x=\frac{111}{49}\approx2.27\)

Answer:

Equation B < Equation C < Equation A