Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the following equation for A. Be sure to take into account whether a letter is capitalized or not. g=2mA+nA Answer: A=

Solve the following equation for A A . Be sure to take into account whether a letter is capitalized or not.\newlineg=2mA+nA g=2 m A+n A \newlineAnswer: A= A=

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Write and solve direct variation equationsright chevron icon

Full solution

Q. Solve the following equation for A A . Be sure to take into account whether a letter is capitalized or not.\newlineg=2mA+nA g=2 m A+n A \newlineAnswer: A= A=
  1. Combine Terms: Combine like terms on the right side of the equation.\newlineSince both terms on the right side of the equation involve AA, we can combine them by adding their coefficients.\newlineg=2mA+nAg = 2mA + nA\newlineg=(2m+n)Ag = (2m + n)A
  2. Isolate A: Isolate AA on one side of the equation.\newlineTo solve for AA, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of AA, which is (2m+n)(2m + n).\newlineg(2m+n)=((2m+n)A)(2m+n)\frac{g}{(2m + n)} = \frac{((2m + n)A)}{(2m + n)}
  3. Simplify Equation: Simplify the equation.\newlineAfter dividing both sides by (2m+n)(2m + n), we get:\newlineA=g2m+nA = \frac{g}{2m + n}

More problems from Write and solve direct variation equations

Question
In a direct variation, y=6 y = 6 when x=2 x = 2 . Write a direct variation equation that shows the relationship between x x and y y .\newlineWrite your answer as an equation with y y first, followed by an equals sign.
Get tutor helpright-arrow

Posted 5 months ago

Question
If y y varies directly with x x and y=12 y = 12 when x=6 x = 6 , find y y when x=4 x = 4 .\newlineWrite and solve a direct variation equation to find the answer.\newliney= y = ____
Get tutor helpright-arrow

Posted 5 months ago

Question
Which equation shows inverse variation?\newlineChoices:\newline(x36)=y(\frac{x}{36}) = y\newlineyx=−74yx = -74
Get tutor helpright-arrow

Posted 5 months ago

Question
Assume that y y varies inversely with x x . If y=1 y = 1 when x=4 x = 4 , find y y when x=2 x = 2 .\newlineWrite and solve an inverse variation equation to find the answer.\newliney= y = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
What is the value of x2y4 \frac{x^{2}}{y^{4}} when x=8 x=8 and y=2 y=2 ?
Get tutor helpright-arrow

Posted 5 months ago

Question
(x+4)(2x−a)=0 (x+4)(2 x-a)=0 \newlineIn the given equation, a a is a constant. If the equation has the solutions x=4 x=4 and x=−4 x=-4 , what is the value of a a ?
Get tutor helpright-arrow

Posted 3 months ago

Question
(2x+5)(−mx+9)=0 (2 x+5)(-m x+9)=0 \newlineIn the given equation, m m is a constant. If the equation has the solutions x=−52 x=-\frac{5}{2} and x=32 x=\frac{3}{2} , what is the value of m m ?
Get tutor helpright-arrow

Posted 3 months ago

Question
(4x+3)−(5x−7)=ax+b (4 x+3)-(5 x-7)=a x+b \newlineIn the given equation, b b is a constant. What is the value of b b ?
Get tutor helpright-arrow

Posted 3 months ago

Question
y=298x−23 y=\frac{29}{8} x-\frac{2}{3} \newlineThe given equation is graphed in the xy x y -plane. What is the slope of the line?
Get tutor helpright-arrow

Posted 8 months ago

Question
at2+72t−4=0 a t^{2}+\frac{7}{2} t-4=0 \newlineThe given equation has solutions at t=−8 t=-8 and t=1 t=1 . What is the value of the constant a a ?
Get tutor helpright-arrow

Posted 8 months ago

View all (80)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant