Solve the system of equations using the linear combination method 5m+3n=41 3m-6n=9 enter your answers in the boxes m= n=

The given equations are

5m+3n=41

3m-6n=9

To solve the equations by linear combination method we make the coefficient of m or n same in both equation. To make coefficient of n same we multiply the first equation by 2

2[5m+3n=41 ]

Multiplying both sides by 2 we have:

10m+6n=82

3m-6n=9 ( second equation)

Adding the two equation the variable n is eliminated

13m=91

Dividing both sides by 13

m=7.

Substituting m value in the first equation we have:

5m+3n=41

5(7)+3n=41

35+3n=41

Subtracting 35 both sides

3n=41-35

3n=6

Dividing both sides by 3

n=2.

M=7.N= 2.

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

answer: the common difference is -0.10