Question

Which system of equations has exactly one solution?

O 2x - 4y = 8
X+ y = 7
o 3x+y=-1
6x+2y = -2
3x+3y = 3
-6x-6y=3
3x-2y = 4
-3x + 2y = 4

Answer 1

Answer: Most of them cross each other once so I am not sure which one is the answer (sorry)

Explanation:

x+y=7 is parallel to 3x+3y=3 and -6x-6y=3

3x+y=-1 and 6x+2y=-2 have infinite solutions togther (both are on top of each other)

The rest of the ways cross each other once

Answer 2

The system of equations that has exactly one solution is (a) 2x - 4y = 8 and x + y = 7

Which system of equations has exactly one solution?

From the question, we have the following parameters that can be used in our computation:

The system of equations in the options

Checking for systems with exactly one solution, we have

2x - 4y = 8

x + y = 7

Make y the subject in x + y = 7

So, we have

y = 7 - x

This gives

2x - 4y = 8

2x - 4(7 - x) = 8

2x - 28 + x = 8

So, we have

3x = 36

x = 12

Hence, the system of equations that has exactly one solution is (a) 2x - 4y = 8 x + y = 7