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Chapter 7: Q. 1 (page 464)

Solve: $3 x - 5 = - x + 1$

Short Answer

Expert verified

The solution of this equation is $x = \frac{3}{2}$

Step by step solution

01

Step 1. Given Information

In the given question we have to solve: $3 x - 5 = - x + 1$

02

Step 2. Now solving the equation.

$3 x - 5 = - x + 1$

Add $x$ on both side

$3 x - 5 + x = - x + 1 + x 4 x - 5 = 1$

Add 5 on both side

$4 x - 5 + 5 = 1 + 5 4 x = 6$

Divide by 4 on both side

$\frac{4}{4} x = \frac{6}{4} x = \frac{3}{2}$

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Most popular questions from this chapter

Establish each identity.

$\frac{1 - 2 \cos^{2} θ}{\sin θ \cos θ} = \tan θ - c o t θ$

If $\tan θ = a \tan \frac{θ}{3}$ , express $\tan \frac{θ}{3}$ in terms of a.

Establish each identity.

$s e c θ - \cos θ = \sin θ \tan θ$

If $\tan α = x + 1$ and role="math" localid="1646425111199" $\tan β = x - 1,$ show that

role="math" localid="1646426027733" $2 c o t (α - b) = x^{2}$

Show that $\tan^{- 1} v + c o t^{- 1} v = \frac{π}{2}$

See all solutions

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