Question

can some one help me with 4 questions??(:

Answer 1

1.) If you were solving a system of equations and you came to a statement like 4 = 4, what do you know about the solution to the system?

A.)The solution is (4, 4)
B.) The solution is x = 4 and y = 4
C.) There is no solution
D.) There are infinitely many solutions
2.) Choose the equivalent system of linear equations that will produce the same solution as the one given below.
4x - 2y = 6
2x + y = 5

A.) -4x - 2y = 10
-4y = 4
B.) -4x - 5y = -1
-7y = 5
C.) 3x + 2y = 6
7x = 12
D.) 4x + 2y = 10
8x = 16
3.) Determine which system below will produce infinitely many solutions.

A.) -6x + 3y = 18
4x - 3y = 6
B.) 2x + 4y = 24
6x + 12y = 36
C.) 3x - y = 14
-9x + 3y = -42
D.) 5x + 2y = 13
-x + 4y = -6
4.) Solve the system of equations.
x + 3y = -1
2x + 2y = 6

A.) (-4, 1)
B.) (2, -1)
C.) (4, -1)
D.) (5, -2)

Answer 2

@rishavraj

Answer 3

@SithsAndGiggles @TheDream @whpalmer4

Answer 4

many solutions

Answer 5

For 1st question..
4 = 4.. take everything on one side..
4-4 = 0
0 = 0

So, No Solution

Answer 6

orr.. infinite solution.. m not sure ( let me try )

Answer 7

2) divide eqn 1 by 2
2x -y = 3

Answer 8

for #4 i got (5,-2)

Answer 9

4th one..

x + 3y = -1
2x + 2y = 6

Substitute these values in both the equations separately..
A.) (-4, 1) = ( -1 = -1) (-6 = 6) ---- No
B.) (2, -1) = ( -1 = -1) (2 = 6) ----- No
C.) (4, -1) = ( 1 = -1) ---- No
D.) (5, -2) = ( -1 = -1) ( 6 = 6 ) ---- is the answer..

Answer 10

add the 2 eqns 4x = 8 so x = 2
substitute to find y
2x + y = 5 y = 1

now find which choice is true when x = 2 and y = 1

Answer 11

thats how i got my answer (: @Ganpat

Answer 12

3.) Determine which system below will produce infinitely many solutions.

A.) -6x + 3y = 18
4x - 3y = 6
B.) 2x + 4y = 24
6x + 12y = 36
C.) 3x - y = 14
-9x + 3y = -42
D.) 5x + 2y = 13
-x + 4y = -6


For infinitely many solution.. it has to be one and the same equation.. for example..
x + y = 1 and 2x + 2y = 2... this has infinitely many solutions.


U can divide equation 1 & 2 for each of the option..

C) 1st equation is multiplied by -3...

So C is the answer..

Answer 13

2.) Choose the equivalent system of linear equations that will produce the same solution as the one given below.
4x - 2y = 6
2x + y = 5.. multiply by 2

4x + 2y = 10... eq 2
4x - 2y = 6...... eq 1

8x = 16.... addition
x = 2

4(2) -2(y) = 6
y = 1

Substitute value of x & y in given options... and you will find your answer...

D.) 4x + 2y = 10
8x = 16

Answer 14

Of course, I answer is Infinite solutions... It represents a line.. ha haa