Match each system of linear equations with the correct number of solutions.
One solution

Infinitely many solutions

No solution
3x - y = 4
6x - 2y = 8

-3x + y = 7
2x - 4y = -8

y = -4x - 5
y = -4x + 1

First one is infinitely many solutions. Second one is One solution. The third one is No solution.

Step-by-step explanation:

First line both equations have the same line. second one are two completely different equations while the third one are parallel lines which never intersect.

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°