Solve for x and y: 7y−5x=31 x=4−2y select one: a. x=8,y=−2 b. x=−2,y=3 c. x=−9,y=−2 d. x=3,y=−2

This is a system of equation:

7y - 5x = 31

x = 4 - 2y

Plug in 4 - 2y for x

7y - 5(4 - 2y) = 31

Distribute -5 to both 4 and -2y

7y - 20 + 10y = 31

Simplify

17y - 20 = 31

Isolate the y. Note the equal sign. What you do to one side you do to the other. Do the opposite of PEMDAS.

Add 20 to both sides

17y - 20 (+20) = 31 (+20)

17y = 51

Divide 17 from both sides to isolate the y

17y/17 = 51/17

y = 51/17 or 3

y = 3

Plug in 3 for y in one of the equations.

x=4−2y

x = 4 - 2(3)

Simplify.

x = 4 - 6

x = -2

x = -2, y = 3 is your answer, or B)

hope this helps

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights