Question

Determine which system below will produce infinitely many solutions.

Answer 1

2x + 5y = 24
2x + 5y = 42

3x - 2y = 15
6x + 5y = 11

4x - 3y = 9
-8x + 6y = -18

5x - 3y = 16
-2x + 3y = -7

Answer 2

4x - 3y = 9 -->(2)
-8x + 6y = -18
----------------
8x - 6y = 18 (result of multiplying by 2)
-8x + 6y = -18
----------------add
0 + 0 = 0
0 = 0

when the answer comes out equal, example : 0 = 0, 2 = 2, 5 = 5, and so forth, the answer is INFINITE SOLUTIONS.

any questions ?

Answer 3

Can you help with another?

Answer 4

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

4x - y = -11
2x + 3y = 5

-4x - 9y = -19
-10y = -30

4x + 3y = 5
2y = -6

7x - 3y = -11
9x = -6

12x - 3y = -33
14x = -28

Answer 5

4x - y = -11 -->(3)
2x + 3y = 5
------------------
12x - 3y = -33 (result of multiplying by 3)
2x + 3y = 5
------------------add
14x = - 28
x = -2

2x + 3y = 5
2(-2) + 3y = 5
-4 + 3y = 5
3y = 5 + 4
3y = 9
y = 3

The solution to this is (-2,3)
========================
12x - 3y = -33
14x = -28 --> x = -28/14....x = -2

12x - 3y = -33
12(-2) - 3y = -33
-24 - 3y = -33
-3y = -33 + 24
-3y = -9
y = 3
and here you have the same solution (-2,3)

Answer 6

Determine which system below will produce infinitely many solutions.

-4x + 6y = 20
4x - 3y = -2

-2x + 4y = 18
4x - 8y = -36

3x - 2y = 5
-6x - 4y = -10

5x - 3y = 12
15x - 9y = 24

can you help me please