Question

Tell whether the ordered pair is a solution of the system of equations.

(2.1)
2x+y=5
y = 4x– 1

1. No, (2,1) is a solution for y = 4x – 1 but not for 2x + y = 5.

2. Yes, (2,1) is a solution for both equations

3. No, (2,1) is a solution for 2x + y = 5 but not for y = 4x - 1

Answer 1

2x + y = 5

y = 4x – 1

Substitute (2, 1) into system, then:

2x + y = 5 => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)

y = 4x– 1 => 4 x 2 - 1 = 1 => -7 = 1 (not satisfied)

=> Option 3 is correct.

Hope this helps!

:)