Question

Drag each tile to the correct box. Arrange the systems of equations that have a single solution in increasing order of the x-values in their solutions.

2x + y = 10
x - 3y = -2

x + 2y = 5
2x + y = 4

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

2x + y = 10
-6x - 3y = -2

a) 2), 3), 1), 4)
b) 4), 1), 2), 3)
c) 1), 2), 3), 4)
d) 3), 4), 2), 1)

Answer 1

Final answer:

The correct arrangement of the systems of equations that have a single solution in increasing order of the x-values in their solutions is option c) 1), 2), 3), 4).

Step-by-step explanation:

The correct arrangement of the systems of equations that have a single solution in increasing order of the x-values in their solutions is option c) 1), 2), 3), 4).

Let's solve each system of equations:

System 1:

2x + y = 10

x - 3y = -2

Solving this system, we find that x = 2 and y = 6.

System 2:

x + 2y = 5

2x + y = 4

Solving this system, we find that x = 2 and y = 1.

System 3:

x + 3y = 5

6x - y = 11

Solving this system, we find that x = 2 and y = 1.

System 4:

2x + y = 10

-6x - 3y = -2

Solving this system, we find that x = 2 and y = 6.

Therefore, the correct arrangement is 1), 2), 3), 4).

The answer is option ⇒C