Which of these strategies would eliminate a variable in the system of equations? 5x+8y=-1 5x -8=-7

To eliminate a variable in the system, we will have to subtract both expressions from each other

Step-by-step explanation:

Given the equations

5x+8y=-1

5x -8y=-7

To eliminate a variable in the system, we will have to subtract both expressions from each other

5x - 5x +8y-(-8y) = 1-(-7)

0 + 16y = 8

16y = 8

You can see that the variable x has been eliminated by simply subtracting both equations

y = 8/16

y = 1/2

50 min

step-by-step explanation:

they will be decreasing both their times in half

60 / 2 = 30

40/2 = 20

30 + 20 = 50

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°