Question

Consider the following system of equations.

Answer 1

Answer:

• A. Since 11 ≠ 9, there is no solution

Step-by-step explanation:

Given system:

• 1.75x + 1.25y = 2.75
• 7x + 5y = 9

Multiply the first equation by 4:

• 4(1.75)x + 4(1.25)y = 4(2.75)
• 7x + 5y = 11

We get same equation as the second one with the difference that the right side equals to 11.

Since left sides are same and right sides are different, the system has no solution.

Correct choice is A

Answer 2

Step-by-step explanation:

1.75x + 1.25y = 2.75 (1)

7x + 5y = 9 (2)

On multiplying EQ. 1 by 4

4(1.75x + 1.25y) = 4(2.75)

7x + 5y = 11 (3)

We get the same LHS as equation 2 but not same RHS as equation 2

Option A is correct