Question

Tell whether the ordered pair (−1, 4) is a solution of the system.

Answer 1

Answer:

(-1,4) is a solution to the system.

Step-by-step explanation:

For this problem, we can simply identify if this point is a solution by verifying the plugged in point values allow the left hand side to equal the right hand side.

(1) -2x - 3y = -10

 -2(-1) - 3(4) ?= -10

 2 - 12 ?= -10

 -10 == -10

(2) -3x + y = 7

 -3(-1) + (4) ?= 7

 3 + 4 ?= 7

 7 == 7

Since both equations are satisfied by this point, then we can say the point (-1,4) is a solution to the system.  Additionally, this means this is a crossing point of the system of equations.

Cheers.