Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution, or aninfinite number of solutions. If the system has one solution, find the solution.y = -5x + 155x + y = -29

Solve the following system of linear equations by substitution and determine whether the system has one solution no solution or aninfinite number of solutions I class=

Respuesta :

Given:

[tex]\begin{gathered} y=-5x+15 \\ 5x+y=-29 \end{gathered}[/tex]

Sol:.

[tex]\begin{gathered} y=-5x+15 \\ \text{ put the value of y in another equation.} \\ 5x+y=-29 \\ 5x+(-5x+15)=-29 \\ 5x-5x+15=-29 \\ \end{gathered}[/tex]

So here is no solution of the linear equation.