PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST For a certain value of k, the system

x + y + 3z = 10,
-4x + 3y + 5z = 7,
kx + z = 3
has no solutions. What is this value of k?

k = 7/4

Step-by-step explanation:

Given system:

x + y + 3z = 10, -4x + 3y + 5z = 7, kx + z = 3

Substitute z in the first two equations with z = 3 - kx:

x + y + 3(3 - kx) = 10 ⇒ (1 - 3k)x + y = 1 ⇒ y = (3k - 1)x + 1-4x + 3y +5(3 - kx) = 7 ⇒ -(4 + 5k)x + 3y = -8 ⇒ y = 1/3(5k + 4) - 8

In order the two equations above not to have a solution, the lines should be parallel. Parallel lines have equal slopes.

Solve the following equation for k:

3k - 1 = 1/3(5k + 4)9k - 3 = 5k + 44k = 7k = 7/4

The answer would be d i think but i’m for sure it is not a and c

ℓσℓ ιт ∂σит тяσυвℓє мє αт αℓℓ ιм gℓα∂ тσ нєℓρ ρρℓ συт

ωє ιт ¢αи вє ωяιттєи αѕ

тнє єχα¢т fσям: 89/9тнє ∂є¢ιмαℓ fσям: 9.ιт яєαρєαтѕ)αи∂ тнє мιχє∂ иυмвєя fσям 9 8/9

step-by-step explanation:

нσρє ι ¢συℓ∂ нєℓρ уσυ συт