Question

-2x=20
y=x+z+12
-2x-2z=22

Answer 1

To solve this system of equations, we can start by using the first equation to solve for x:

2x = 20

Divide both sides by 2:

x = 10

Now we can substitute this value of x into the second equation and simplify:

y = x + z + 12

y = 10 + z + 12

y = z + 22

Finally, we can use the third equation to solve for z:

-2x - 2z = 22

Substitute x = 10:

-2(10) - 2z = 22

Simplify:

-20 - 2z = 22

Add 20 to both sides:

-2z = 42

Divide both sides by -2:

z = -21

Now we can substitute this value of z back into our equation for y:

y = z + 22

y = -21 + 22

y = 1

So the solution to the system of equations is:

x = 10

y = 1

z = -21