Viktoriya solved an equation as shown below. 5 (x minus 2) minus 3 x = 2 (x minus 3) minus 16. 5 x minus 10 minus 3 x = 2 x minus 6 minus 16. 2 x minus 10 = 2 x minus 22. Negative 10 = negative 22. She says that the equation has infinitely many solutions. Which describes Viktoriya's error

The conclusion is wrong

Step-by-step explanation:

The following steps are given

Required

The error

Going through the steps, we can see that there are no mistakes in any of the step.

However, the conclusion that there are infinitely many solutions is wrong

because the solution actually has no solutions.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°