Only the answer is required

solve the system.

5x − 8y = −11

−10x + 16y = 22

a
no solution

b
infinite solutions

c
(0,0)

d
(-5, 2)

Infinitely many solutions.

Step-by-step explanation:

5x-8y=-11

-10x+16y=22

2(5x-8y)=2(-11)

-10x+16y=22

10x-16y=-22

-10x+16y=22

0+0=0

infinitely many solutions

where are the options?

step-by-step explanation:

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°