Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Solve each equation . is the equation an identity ? Explain .
16(4-3m) = 96 (-0.5m+1)

hint Hint:

An equation is said to be an identity if an only if, for all values of x (or any other variable in the equation), the equation will be true. i.e. for all values of x (or any other variable in the equation), LHS = RHS.

The correct answer is: The given equation is not an identity.

Step-by-step solution:-
LHS = 16 (4 - 3m)
∴ LHS = (16 × 4) - (16 × 3m) .............................. [Distributive property- a (m + n) = am + an]
∴ LHS = 64 - 48m ............................................... (Equation i)
RHS = 96 (-0.5m + 1)
∴ RHS = (96 × -0.5m) + (96 × 1) …..................... [Distributive property- a (m + n) = am + an]
∴ RHS = -48m + 96
∴ RHS = 96 - 48m .............................................. (Equation ii)
From Equation i & ii, we get-
LHS ≠ RHS
Hence, the given equation is not an identity.
Final Answer:-
∴ The given equation is not an identity.

Related Questions to study

Solve radical equation $square root of 4 x end root equals 11$

Solve radical equation $square root of 4 x end root equals 11$

Solve radical equation ∛x + 8 = 13

Solve radical equation ∛x + 8 = 13

Solve each equation . is the equation an identity ? Explain .
t-27 = - (27-t)

Solve each equation . is the equation an identity ? Explain .
t-27 = - (27-t)

parallel

Solve $fraction numerator 2 x minus 2 over denominator 4 end fraction$ + 10= x

Solve $fraction numerator 2 x minus 2 over denominator 4 end fraction$ + 10= x

What is the value of x in 6X-5 = 2 (3X+4)

What is the value of x in 6X-5 = 2 (3X+4)

Describe the process used to solve an equation with two radical expressions. How is this process different from solving an equation with only one radical expression

Describe the process used to solve an equation with two radical expressions. How is this process different from solving an equation with only one radical expression

parallel

What is the value of x in 4X+6= 2(2X+3)

What is the value of x in 4X+6= 2(2X+3)

Solve $fraction numerator 6 x plus 8 over denominator 2 end fraction$ - 4 = 3x

Solve $fraction numerator 6 x plus 8 over denominator 2 end fraction$ - 4 = 3x

5/8(16d+24) = 6 (d-1)+1

5/8(16d+24) = 6 (d-1)+1

parallel

Solve (-3k + 4)= -2 - 6k

Solve (-3k + 4)= -2 - 6k

Solve : 100 (Z-0.2) = -10( 5Z+0.8)

Solve : 100 (Z-0.2) = -10( 5Z+0.8)

$fraction numerator q plus 1 over denominator 2 end fraction equals fraction numerator q minus 1 over denominator 3 end fraction$

$fraction numerator q plus 1 over denominator 2 end fraction equals fraction numerator q minus 1 over denominator 3 end fraction$

parallel

Find the value of n in the equation shown :
(n-4)/2 - 7 = -2n+6

Find the value of n in the equation shown :
(n-4)/2 - 7 = -2n+6

What is the value of X in the equation shown :
3x-10+4x= -2(x-4)+9

What is the value of X in the equation shown :
3x-10+4x= -2(x-4)+9

Solve 16(4 - 3m) = 96( $fraction numerator negative m over denominator 2 end fraction$ + 1)

Solve 16(4 - 3m) = 96( $fraction numerator negative m over denominator 2 end fraction$ + 1)

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.