Home help question 50 Can somemone please help me solve ques

Home help question 50.

Can somemone please help me solve question for HW, Please show how you did it.

The sum of these three expressions: 5x + 8y + 2z, 8x - 2y - 7z, and -6x + 3y - 6z is equal to j*x + k*y + m*z. Determine j, k and m.

According to the given problem,

5x+8y+2z+8x-2y-7z-6x+3y-6z=j*x+k*y+m*z

(5x+8x-6x)+(8y-2y+3y)+(2z-7z-6z)= j*x+k*y+m*z Group the like terms.

7x + 9y -11z = j*x+k*y+m*z Combine the like terms.

Now, compare both sides of the equation for x, y and z to get the value of j, k and m.

So, 7x = jx. Hence j= 7

9y = ky. Hence, k = 9

-11z= mz. Hence z =-11