Question

If 4x =−16, 5y=20, and −11z=−11, then the value of -2y 3x-5z is:

Answer 1

To find the value of -2y 3x - 5z, solve for x, y, and z individually, then substitute into the expression. The result is 91.

Step-by-step explanation:

Given the equations 4x = -16, 5y = 20, and -11z = -11, we can find the values of x, y, and z as follows:

Divide both sides of 4x = -16 by 4 to find x: x = -16 / 4 = -4.

Divide both sides of 5y = 20 by 5 to find y: y = 20 / 5 = 4.

Divide both sides of -11z = -11 by -11 to find z: z = -11 / -11 = 1.

Next, we can substitute these values into the expression -2y 3x - 5z to find its value:

-2(4) * 3(-4) - 5(1) = -8 * -12 - 5 = 96 - 5 = 91.

Therefore, the value of the expression is 91.

Answer 2

To find the value of -2y + 3x - 5z, we need to substitute the given values of x, y, and z into the expression and perform the necessary calculations.

Given:

4x = -16

5y = 20

-11z = -11

Let's solve for x, y, and z individually:

1. Solving for x:

Dividing both sides of the equation 4x = -16 by 4, we get:

x = -16/4

x = -4

2. Solving for y:

Dividing both sides of the equation 5y = 20 by 5, we get:

y = 20/5

y = 4

3. Solving for z:

Dividing both sides of the equation -11z = -11 by -11, we get:

z = -11/-11

z = 1

Now, substitute the values of x, y, and z into the expression -2y + 3x - 5z:

-2(4) + 3(-4) - 5(1)

Performing the calculations:

-8 - 12 - 5 = -20

Therefore, the value of -2y + 3x - 5z is -20.