How to solve system of linear equations by elimination

Say you have the system:

2x + 7y = 4

3x + 5y = -5

To solve this system using elimination, you want to cancel out either the x terms or the y terms. In this equation, it makes most sense to get rid of the x terms because they can easily be calculated as opposites. So, what we need to do is multiply each term in the first equation by 3 and multiply each term in the second equation by -2:

6x + 21y = 12 (2 * 3 = 6; 7 * 3 = 21; 4 * 3 = 12)

-6x -10y = 10 (3 * -2 = -6; 5 * -2 = -10; -5 * -2 = 10)

With that, the x terms automatically cancel out and we're left with:

21y = 12

-10y = 10

From here, we can add both equations together and get:

11y = 22

y = 2 (divide both sides by 11)

After we have one variable, we can plug it right back into either of the first two original equations; ours were 2x + 7y = 4 and 3x + 5y = -5.

So we'll take the first one and put 2 in the place of y to solve for x:

2x + 7(2) = 4

2x + 14 = 4 (multiply 7 and 2)

2x = -10 (subtract 14 from both sides of the equation)

x = -5 (divide both sides by 2)

We have that y = 2 and x = -5; there is only one more step - check your work!

Plug both values back into both original equations to check your work:

2(-5) + 7(2) = 4   =>   -10 + 14 = 4   Correct!

3(-5) + 5(2) = -5   =>   -15 + 10 = -5   Correct!

I hope this was comprehensive enough. Let me know if you have any more questions.

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: