Question

4 Algebra 2 problems... I give medals! :)

Answer 1

1. Solve the system by substitution.
2x+y=-11
3x-4y=11

Answer 2

2. Solve the system by elimination.
2x+6y=-12
5x-5y=10

Answer 3

3. What is the solution of the following system?
x-y=11
-x+y=-11

Answer 4

4. What is the solution of the following system?
-3x-2y=-12
9x+6y=-9

Answer 5

The answer to each problem is either an ordered pair, no solution, or infinite solutions.

Answer 6

@Abbydavis102 this is the first question which is supposed to be solved by substitution
so lets substitute the value of y from first equation into the second one


2x+y=-11 ............3x-4y=11
y = -11 - 2x

substituting it in the second one we get
3x + 44 + 8x = 11
it means 11x = - 33

so u would get the value of x by solving it further and on equating this value in any of the above equation u would get the value of y too! :D

Answer 7

2. Solve the system by elimination. 2x+6y=-12..... 5x-5y=10

elimination is a method in which we are supposed to eliminate (remove/cancel) any of the one x or y from the equation

so for the purpose multiply the first equation with 5 and the second one with 2 ..( this would make the number to be multiplied by x equal in both the cases.. and on subtracting the equations this would be eliminated)

so the first equation comes out to be 10x + 30y = - 60
and the second one comes out to be 10x - 10y = 20

now on subtracting second equation from the first one we get
10x + 30y - (10x - 10y) = - 60 -(20)

which comes out to be
40y = - 80

so solve it further to get the value of y.. and then equate it in any of the equations above to get the value of x..!

Answer 8

3. What is the solution of the following system? x-y=11
-x+y=-11

the answer of this question is that they have infinite solutions... because these equations are actually the same..!

Answer 9

4. What is the solution of the following s ystem? -3x-2y=-12
9x+6y=-9

from the second equation we can take 3 common
on taking 3 common we get
3(3x +2y ) = 3 (-3)
dividing both sides by 3 we get
3x + 2y = -3

from it we get the value of 2y = -3 - 3x

and on equating it in the other equation ( -3x-2y=-12)
u can get ur answer..!!

Answer 10

you would come to know if the equations have an ordered pair, no solution, or infinite solutions.

Answer 11

Wow thanks!:)

Answer 12

welcome..:D