Question

13. Describe the number of solutions for the equation.

5(x – 9) = 5x (1 point)
no solution
one solution
infinite solutions
14. Describe the number of solutions for the equation.

–2(x – 1) = 2x – 2 (1 point)
infinite solutions
one solution
no solution
15. Solve the equation.

3x + 6 = 9 (1 point)
15
9
5
1
16. Solve the equation.

r over 4 – 1 = 4 (1 point)
1.3
0.8
12
20
17. Solve the inequality.

9x < 72 (1 point)
x < 8
x < –8
x < 63
x < 81
need done asap

Answer 1

A) The equation has no solution

B ) The equation has one solution

C ) The solution of equation is 1

D ) The solution of equation is 20

E ) The solution of inequality is x
`<` 8

Explanation:

Given as :

A ) The equation is written as

5 ( x - 9 ) = 5 x

So, solving the equation

i. e 5 x - 5 × 9 = 5 x

or, , (5 x - 5 x) - 45 = 0

or, (0) - 45 = 0

∵ The equation do not have any variable terms

So, the equation has no solution

B) The equation is written as

- 2 ( x - 1 ) = 2 x - 2

So, solving the equation

i.e - 2 x + 2 = 2 x - 2

or, ( - 2 x - 2 x ) = - 2 - 2

or, - 4 x = - 4

∴ x =
`(-4)/(-4)`

I.e x = 1

So, The equation has one solution

C) The equation is written as

3 x + 6 = 9

So, solving the equation

I.e 3 x = 9 - 6

or, 3 x = 3

∴ x =
`(3)/(3)`

I.e x = 1

So, The solution of equation is 1

D) The equation is written as

`(x)/(4)` - 1 = 4

Or,
`(x)/(4)` = 1 + 4

or,
`(x)/(4)` = 5

∴ x = 5 × 4

I.e x = 20

So, The solution of equation is 20

E) The equation of inequality is written as

9 x
`<` 72

Or, x
`<`
`(72)/(9)`

∴ x
`<` 8

So, The solution of inequality is x
`<` 8

Hence , A) The equation has no solution

B ) The equation has one solution

C ) The solution of equation is 1

D ) The solution of equation is 20

E ) The solution of inequality is x
`<` 8

Answer