Determine whether each statement is true or false based on the given linear equation. The given equation has one solution. True False The equation -6x + 24 = 14x + 16 is equivalent to the given equation. True False The given equation has infinitely many solutions. True False If the left side of the given equation is changed to 7x + 4, then the equation will not have a solution. True False If the left side of the given equation is changed to 12, then there will be only one solution.

Step-by-step explanation:

Given the linear expression

-6x + 24 = 14x + 16

1. The equation -6x + 24 = 14x + 16 is equivalent to the given equation  

the  answer is True

2. The given equation has infinitely many solutions

the answer is false for all values of x

3. if  -6x + 24 is changed to 7x + 4  then the equation will not have a solution  

the answer is True

4.  If the left side of the given equation is changed to 12, then there will be only one solution.

the answer is True  

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: