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

(-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.

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.

divide by 5

step-by-step explanation:

60/5 = 12