Someone please help. I can't figure this out and need help ASAP
The question is..
While solving x/6=5/2 for x, Nathan noticed that x is divided by 6
a) What can he do to both sides of the equation to get x alone?
b) Solve for x. Then check your solution in the original equation.
c) Use the same process to solve this equation for x: x/10=2/5
PLEASE HELP ASAP. BEST ANSWER GETS BRAINLIEST?

Respuesta :

Answer:

a) he should multiply by 6 both sides of the equation

b)

[tex]\frac x6=\frac52\ \ \ |\cdot 6\\ x=6\cdot \frac52\\ x=\frac{30}2\\ x=15[/tex]

Check:

[tex]\frac{15}6=\frac52\\ \frac52=\frac52[/tex]

c)

[tex]\frac x{10}=\frac25\ \ \ \ |\cdot 10\\ x=10\cdot \frac25\\ x=\frac{20}5\\ x=4[/tex]

Check:

[tex]\frac4{10}=\frac25\\ \frac25=\frac25[/tex]

Step-by-step explanation:

In equations like [tex]\frac xb=\frac cd[/tex], where x is an unknown number, you may multiply both sides of that equation by b.

You get [tex]x=b\cdot \frac cd[/tex]

Than, you put b to the numerator, you get [tex]x=\frac{b\cdot c}d[/tex] and calculate the fraction on the right side of the sign "="