Pls!

what ordered pair represents the solution to this system of linear equations?

3y=2x+2
y=43x+1

(−12,13)

(−13,12)

(13,−12)

(12,−13)

What ordered pair represents the solution to this system of linear equations?

3y = 2x + 2

y = 4/3x + 1

Options

(−1/2, 1/3)

(−1/3, 1/2)  

(1/3, −1/2)

(1/2, −1/3)

The ordered pair that represents the solution to the given system of linear equations is

Given system of linear equations are:

3y = 2x + 2 ---- eqn 1

--- eqn 2

Let us solve the given system of equations to find the ordered pair (x, y)

Substitute eqn 2 in eqn 1

Thus the ordered pair that represents the solution to the given system of linear equations is

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1

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°