Answer: [tex]x=4y[/tex]
Step-by-step explanation:
The equation is [tex]2xa=8yb[/tex].
To find the value of the variable "x" in terms of "y", you need to apply the Division property of equality and divide both sides of the equation by "2a". Then:
[tex]\frac{2ax}{2a}=\frac{8yb}{2a}[/tex]
[tex]x=\frac{8yb}{2a}[/tex]
You know that the costants "a" and "b" are equal ([tex]a=b[/tex]), then:
[tex]\frac{b}{a}=1[/tex]
Knowingt this, you can simplify.
Therefore, you get that the value of "x" in terms of "y" is:
[tex]x=4y[/tex]
Answer:
3y
Step-by-step explanation:
Cross multiply to simplify the equation.
2xa=8yb
2x(b)=8y(a)
Since a=b, substitute a for b in the right side of the equation. Then, divide both sides by a to eliminate it.
2x(b)=8y(a)
2x(a)a=<span>8y(a)a
2x=8y
Step 2:
Rewrite the right side of the equation to have a base of 2.
To solve for the value of x in terms of y, both sides of the equation need to have the same base. Therefore, 8 needs to be rewritten to have a base of 2. Since 8=23, substitute 23 for 8 in the equation.
2x=8y
2x=(23)y
Remember that when an exponent is raised to another exponent, the two exponents are multiplied.
2x=(23)y
2x=23y
From this relationship, it is clear that x=3y
Step 3:
Match your solution to the correct answer choice.
Select "3y" as your answer choice and move on to the next question.
