We read your photo as:

Given y = (beta)/(alpha x + beta2), rearrange the equation to show that (1)/(y) = ((alpha)/(beta))x + beta.

Mathematics

ScanSolve AI Answer

Answer

1y=(αβ)x+β\frac{1}{y} = \left(\frac{\alpha}{\beta}\right)x + \beta

Step-by-step solution

4 steps

  1. Start with the given relation between xx and yy.

    The relation is:

    y=βαx+β2y = \frac{\beta}{\alpha x + \beta^2}

  2. Take the reciprocal of both sides of the equation.

    1y=αx+β2β\frac{1}{y} = \frac{\alpha x + \beta^2}{\beta}

  3. Separate the terms in the numerator over the common denominator.

    1y=αxβ+β2β\frac{1}{y} = \frac{\alpha x}{\beta} + \frac{\beta^2}{\beta}

  4. Simplify the terms.

    1y=(αβ)x+β\frac{1}{y} = \left(\frac{\alpha}{\beta}\right)x + \beta

    This shows the required relation.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QGiven the relationship (1)/(y) = ((alpha)/(beta))x + beta, what data points are needed to determine…QGiven ^-1(x) = alpha and ^-1(x) = beta, show that (alpha + beta) = 1.QIn the diagram below, B1=beta, B2=alpha, AB=y units, BD=DC=x units and AC BC. (1) Show that…QIf alpha and beta are the roots of the equation 3x2 - 2x − 1 = 0, find the equation whose roots are…
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp