Question

PLEASE ANSWERRRRRRRRRR

Solve the system

A. Infinite Number of Solutions
B. (3, -2)
C. No Solution
D.(-4, 5)
E. (8, 1)

Answer 1

Answer: OPTION B.

Explanation:

Given the following System of equations:

`\left \{ {{3x-5y=19} \atop {x+y=1}} \right.`

You can use the Elimination Method to solve it. The steps are:

1. You can mutliply the second equation by -3.

2. Then you must add the equations.

3. Solve for the variable "y".

Then:

`\left \{ {{3x-5y=19} \atop {-3x-3y=-3}} \right.\\.....................\\-8y=16\\\\y=(16)/(-8)\\\\y=-2`

4. Now that you know the value of the variable "y", you must substitute it into any original equation.

5. The final step is to solve for "x" in order to find its value.

Then:

`x+(-2)=1\\\\x=1+2\\\\x=3`

Therefore, the solution is:

`(3,-2)`