which equations have the same value of x as $\frac{5}{6}x+\frac{2}{3}=-9$? select three options.\n$6(\frac{5}…

which equations have the same value of x as $\frac{5}{6}x+\frac{2}{3}=-9$? select three options.\n$6(\frac{5}{6}x+\frac{2}{3})=-9$\n$6(\frac{5}{6}x+\frac{2}{3})=-9(6)$\n$5x + 4=-54$\n$5x + 4=-9$\n$5x=-13$\n$5x=-58$

which equations have the same value of x as $\frac{5}{6}x+\frac{2}{3}=-9$? select three options.\n$6(\frac{5}{6}x+\frac{2}{3})=-9$\n$6(\frac{5}{6}x+\frac{2}{3})=-9(6)$\n$5x + 4=-54$\n$5x + 4=-9$\n$5x=-13$\n$5x=-58$

Answer

Explanation:

Step1: Multiply both sides of $\frac{5}{6}x+\frac{2}{3}=-9$ by 6.

According to the equality - property of multiplication, if $a = b$, then $ca=cb$. So, $6(\frac{5}{6}x+\frac{2}{3})=-9\times6$.

Step2: Expand the left - hand side using the distributive property $a(b + c)=ab+ac$.

$6\times\frac{5}{6}x+6\times\frac{2}{3}=-54$. Simplify to get $5x + 4=-54$.

Step3: Subtract 4 from both sides of $5x + 4=-54$.

Using the equality - property of subtraction, if $a=b$, then $a - c=b - c$. So, $5x=-54 - 4$, which simplifies to $5x=-58$.

Answer:

B. $6(\frac{5}{6}x+\frac{2}{3})=-9(6)$ C. $5x + 4=-54$ F. $5x=-58$