Question

Help, please! ASAP!!​

Answer 1

Answer:

a) one solution

b) no solution

Step-by-step explanation:

Systems of equations can be described as having one solution, no solution or infinite solutions:

One solution:  'x' and 'y' are equal to only one value

No solution:  'x' and 'y' can not be solved with the given equations

Infinite solutions:  values for 'x' and 'y' include all real numbers

In order to evaluate the systems, putting them in the same format is your first step:

a) - y  = -5x - 6 or y - 5x = 6

   y - 5x = -6

Since both equations have the same expression 'y - 5x', but there are equal to opposite values, this system would have no solution, as this would not be possible to calculate.

b) y + 3x = -1

  y = 3x -1 or y - 3x = -1

Solving for 'y' by adding the equations and eliminating 'x', gives us:

2y = -2 or y = -1

Using y = -1 to plug back into an equation and solve for 'x':  -1 + 3x = -1 or x = 0.  Since 'x' and 'y' can be solved for a value, the system has just one solution.