Question

Systems of linear equations iready quiz

Answer 1

Answer:

One solution.

Step-by-step explanation:

The given question is

Does the following system have One Solution, No Solution, or Infinite Solutions.  

$y = 4x + 8\\y = -5x + 3$

To solve this system, we just need to multiply the first equation by -1, and then sum those equations.

$-y = -4x - 8\\y = -5x + 3$

$0=-9x-5\\5=-9x\\x=-\frac{5}{9}$

Then, we use this value to find the other one

$y=4x+8\\y=4(-\frac{5}{9} )+8\\y=-\frac{20}{9}+8\\y =\frac{-20+72}{9} \\y=\frac{52}{9}$

As you can observe, the system of equations have a unique solution.

Therefore, the answer is one solution.