3z-4y=2z - 4.5 8y =2z +5

Consider the system of equations. If (y, z) is the solution to the system, then what is the value of y- -z?
Explain step by step solutions

2 answers

Step 1: Solve the first equation for z:
3z - 4y = 2z - 4.5
3z - 2z = 4y + 4.5
z = 4y + 4.5

Step 2: Substitute the value of z into the second equation:
8y = 2(4y + 4.5) + 5
8y = 8y + 9 + 5
0 = 9 + 5

Step 3: Since the equation is false, there is no solution to the system. Therefore, the value of y - z is undefined.
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