Solve the system of linear equations by graphing.
x - 4y = -4
-3x – 4y = 12

We conclude that the solution to the system of linear equations will be:

(x, y) = (-4, 0)

Step-by-step explanation:

Please check the attached diagram.

In the attached diagram:

From the diagram, we can easily identify that both lines meet or intersect at x = -4 and y = 0.

In other words, the point of intersection of the system of equations is:

(x, y) = (-4, 0)

We know that the point(s) of the intersection of the system of equations represents the solution of the system of equations.

Therefore, we conclude that the solution to the system of linear equations will be:

(x, y) = (-4, 0)

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

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°