Question

5)

Solve: 5x - 7x + 6 = -2(x - 3).
A)
0
B)
mit
2
infinitely many solutions

Answer 1

Option C) Infinitely many solutions is correct option.

Explanation:

We need to solve the equation
`5x - 7x + 6 = -2(x - 3)` and find value of x

The equation can be solved using DMAS rule.

Solving:

`5x - 7x + 6 = -2(x - 3)`

Multiply -2 with terms inside the bracket

`5x - 7x + 6 = -2x +6`

Now, we will combine like terms. Like terms are those terms that have same variable. In our case 5x, -7x and -2x are like terms and 6,6 are like terms.

`5x - 7x +2x=-6 +6\\7x-7x=-6+6\\0=0`

Solving the equation we get 0=0 it means that the solution will have infinitely many solutions, because it will be true for every value of x.

So, Option C) Infinitely many solutions is correct option.