Can somebody walk me through this please!

x = 5, y = -6, z = -2

Step-by-step explanation:

Given the following systems of linear equations:

Equation 1:   x =  y + 11

Equation 2:  x + 2y - 4z = 1

Equation 3:  2x = 10

In order to use the substitution method, choose one of the given equation where the variable has a coefficient of 1.  We could use Equation 1 and substitute its value into Equation 3:

Use Equation 1: x =  y + 11  substitute into Equation 3 to solve for y:

2x = 10

2(y + 11) = 10

Distribute 2 into the parenthesis:

2y + 22 = 10

2y + 22 - 22 = 10 - 22

2y = -12

y = -6

Substitute the value of y = -6 into Equation 1:

x =  y + 11

x = -6 + 11

x = 5

Substitute the values of x = 5 and y = -6 into Equation 2 to solve for z:

x + 2y - 4z = 1

5 + 2(-6) - 4z = 1

5 - 12 - 4z = 1

-7 - 4z = 1

Add 7 to both sides:

-7 + 7 - 4z = 1 + 7

-4z = 8

Divide both sides by -4 to solve for z:

z = -2

Verify whether the values for x, y, and z satisfy the three equations in the given linear system:

x = 5, y = -6, z = -2

Equation 1:   x =  y + 11

5 = -6 + 11

5 = 5 (True statement)

Equation 2:  x + 2y - 4z = 1

5 + 2(-6) - 4(-2) = 1

5 - 12 + 8 = 1

13 - 12 = 1

1 = 1 (True statement)

Equation 3:  2x = 10

2(5) = 10

10 = 10 (True statement).

Therefore,  x = 5, y = -6, z = -2 satisfy all the equations within the given system.

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

41*67/2=1373.5

step-by-step explanation:

i just used a calculator