Question

Solve the following system of linear equations by addition Indicate whether the given system of linearequations has one solution, has no solution, or has an infinite number of solutions. If the system has onesolution, find the solution.- 3x + y = 19y=x+3AnswerKeypadKeyboard ShortcutsSelecting an option will enable input for any required text boxes. If the selected option does not have anyassociated text boxes, then no further input is required.O One SolutionO No SolutionO Infinite Number of Solutions

Answer 1

One solution

(-8, -5)

Step-by-step explanation:

The system of equations is

-3x + y = 19

y = x + 3

To solve the equation by addition, we need to rewrite the second equation as follows

y = x + 3

y - x = x + 3 - x

-x + y = 3

(-1)(-x) + (-1)(y) = (-1)(3)

x - y = -3

Now, we can add this equation to the first on, so

-3x + y = 19

x - y = -3

-2x + 0 = 16

Now, we can solve for x

-2x = 16

-2x/(-2) = 16/(-2)

x = -8

Then, using x = -8, we can find the value of y

y = x + 3

y = -8 + 3

y = -5

Therefore, the system has one solution and the solution is (-8, -5)