Question

Find the solution to the system of equations.
x + y + z = 25
y+z= 18
Z= 7

Answer 1

x=7

y=11

z=7

Explanation:

x + y + z = 25

y+z= 18

Z= 7

Substitute the third equation into the second

y+z=18

y+7 = 18

y = 18-7

y = 11

Now substitute y=11 and z=7 into the first

x +y+z = 25

x+11+7 = 25

x+18 = 25

x = 25-18

x=7