Solve by elimination 2x+5y=17 6x-5y=19

By elimination:

2x + 5y = 17

6x - 5y = 19

We can add the second equation to the first in order to isolate one variable.

(2x + 5y) + (6x - 5y)

8x = 17

Because we added the left side, we have to add the right side here as well.

17 + 19 = 36

8x = 36

Divide both sides by 8

x = 4.5

We can plug this value back into the original equation to find the value of y.

2(4.5) + 5y = 17

9 + 5y = 17

Subtract 9 from both sides.

5y = 8

Divide both sides by 5.

y = 1.6

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step-by-step explanation:

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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°