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Chapter 6: Problem 129

Write three equations whose solution set is \(\\{5\\}\).

Short Answer

Expert verified
The three equations could be: \(x = 5\), \(x - 3 = 2\), and \(5x = 25\), all of which have 5 as their solution.

Step by step solution

01

Equation 1

Let's start with a simple equation. The equation is: \(x = 5\). In this equation, \(x\) is directly equated to 5, so the solution is certainly 5.
02

Equation 2

Involving addition, the equation should be something like: \(x - 3 = 2\). Here, if we add 3 on both sides, we get \(x = 5\), which is our intended solution.
03

Equation 3

Now, for an equation involving multiplication and division: \(5x = 25\). If we divide both sides of the equation by 5, we get \(x = 5\), which is the desired solution.

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Most popular questions from this chapter

Solve the quadratic equations by factoring. \(x^{2}-14 x=-49\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-2 x-15\)

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Solve the equations using the quadratic formula. \(6 x^{2}-5 x-6=0\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(4 x^{2}+16 x+15\)
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