Question

Y=32 - 4.

y=3z + 6
How many solutions does the system of equations have?

A. one solution, (-4,6)
B. one solution, (6,4)
C. no solution
D. infinitely many solutions

Answer 1

The system of equations has one solution, (y, z) = (6.4, 4.1333).

Step-by-step explanation:

The given system of equations is:

y = 32 - 4y

y = 3z + 6

To solve this system, we can start by combining like terms:

5y = 32

3z = y + 6

Next, we can solve for y by dividing both sides of the first equation by 5:

y = 6.4

Then, we can substitute this value of y into the second equation:

3z = 6.4 + 6

Simplifying further, we get:

3z = 12.4

Dividing both sides by 3, we find:

z = 4.1333

Therefore, the system of equations has one solution, (y,z) = (6.4,4.1333).