Question

Use the method of substitution to solve the system. (If there is no solution, enter NO SOLUTION.)

x^2 + z^2 = 17
4x + y = 5
y + z = 5

Answer 1

x^2 + z^2 = 17 ----- (1)
4x + y = 5 ----- (2)
y + z = 5 ----- (3)

From (3): y = 5 - z
Put this in (2):
4x + 5 - z = 5
subtract 5:
4x - z = 0
add z:
4x = z or z = 4x.
Put this in (1):
x^2 + (4x)^2 = 17
solve for x
Then solve for z and y.