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Chapter 6: Problem 57

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(A x+B y=C\) for \(x\)

Short Answer

Expert verified
The solution for \(x\) in the given equation \(A x + B y = C\) is \(x = (C - B y) / A\).

Step by step solution

01

Understand the problem

The problem presents the equation \(A x + B y = C\). The task is to solve for \(x\). This type of equation is a linear equation in mathematics which describes a straight line in a 2-dimensional space when graphed.
02

Isolate \(x\)

To isolate \(x\), the first step is to subtract \(B y\) from both sides of the equation to get \(A x = C - B y\).
03

Solve for \(x\)

To solve for \(x\), divide both sides of the equation by \(A\). This gives \(x = (C - B y) / A\) as the final equation.

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Most popular questions from this chapter

Solve the equations in Exercises 53-72 using the quadratic formula. \(x^{2}+8 x+15=0\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}-25 x-28\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. In an inequality such as \(5 x+4<8 x-5\), I can avoid division by a negative number depending on which side I collect the variable terms and on which side I collect the constant terms.

Solve each equation by the method of your choice. \(2 x^{2}-9 x-3=9-9 x\)

Solve the equations using the quadratic formula. \(x^{2}+2 x=4\)
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