What is 171 : 3 in unite rate

The equation shown has a missing value. Answer parts a through c. - 2(2x- ) + 1 = 17 - 4x a. For what missing value is the equat

lyudmila [28]

Equations can have one solution, more than one solution or none at all.

The equation is an identity when the missing value is 8
The equation cannot have exactly one solution
The equation has exactly one solution when the missing value is anything except 8

The equation is given as:

$2(2x - []) + 1 = 17 - 4x$

Represent the blank with y.

So, we have:

$-2(2x - y) + 1 = 17 - 4x$

(a) The missing value when the equation is an identity equation

To do this, we simply solve for y in $-2(2x - y) + 1 = 17 - 4x$

Open brackets

$-4x +2y + 1 = 17 - 4x$

Collect like terms

$2y = 17 - 1 + 4x - 4x$

$2y = 16$

Divide both sides by 2

$y = 8$

Hence, the equation is an identity when the missing value is 8

(b) The missing value when the equation has one solution

In (a), we have: $y = 8$

For the equation to have one solution, variable x must be on either sides of the equation.

i.e. $nx + y = 8$ or $y = 8 + nx$ , where $n \ne 0$

Since x has been eliminated, then the equation can not have one solution.

(c) The missing value when the equation has no solution

In (a), we have: $y = 8$

This means that the equation will have no solution when the missing value is not 8

i.e.

$y \ne 8$

Read more about equations at:

brainly.com/question/9585437

7 0

3 years ago

Which problem solving strategy would be best to solve this problem?

prisoha [69]

Answer:

B) work backwards.

Step-by-step explanation:

Since they are asking for how much money he had at first and they displayed how much he spent without telling the amount of money at the start of the question, this is definitely a backwards question. For working backwards, you will need to do workings the opposite as what they said in the question.

5 0

3 years ago

Which expression is equivalent to 6(7x – 4)?

Oliga [24]

$\huge\text{Hey there!}$

$\bold{Equivalent\ to: 6(7x -4)}$

$\bold{FIRST\ you\ have\ to\ DISTRIBUTE}$

$\bold{Formula\downarrow}\\\bold{a(b+c)}\\\bold{a(b)+a(c)}\\\bold{=\underline{ab+ac}}$

$\bold{6(7x-4)}\\\bold{6(7x)+6(-4)}\\\bold{6(7x)=42x}\\\bold{6(-4)=-24}\\\bold{\underline{42x-24}}\\\\\boxed{\boxed{\bold{Answer: \large{\text{\bf{B. 42x - 24}}}}}}\huge\checkmark$