Question

Have many solutions does -4x + 6 + 3x = 12

Answer 1

Answer:

A) One solution

B) No solution

C) Infinite number of solutions

D) One solution

E) Infinite number of solutions

Step-by-step explanation:

There are 5 equations to solve:

A) - 4 x + 6 + 3 x = -12

combining like terms and solving for x gives:

- x + 6 = - 12

- x = -18

x = 18

which is a unique (ONE) solution

B)  5 (2 x - 2) = 10 x + 10

distributive property gives us:  10 x - 10 = 10 x + 10

then subtract 10 x from both sides and we get: -10 = 10 which is an absurd, therefore this equation has NO SOLUTION.

C)  6 x + 2 x - 8 = 8 (x - 1)

Combining like terms and using distributive property, we get:

8 x - 8 = 8 x - 8

which is an identity, So this is true for all possible x values, then the are INFINITE NUMBER OF SOLUTIONS

D) 2 x + 50 = 90

solving for x gives:

2 x = 40

x = 40/2

x = 20

which is a unique (ONE) solution.

E) 2 (x - 4) = 2 x + 10 - 18

Using distributive property and combining like terms we get:

2 x - 8 = 2 x -8

This is an identity which will give true for all real x-values. Therefore it has INFINITE NUMBER OF SOLUTIONS.

Answer 2

Answer:As there are 2 equations and two unknowns there is 1 solution

Step-by-step explanation: