Question

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

Answer 1

Given:

`\begin{gathered} y=-5x+15 \\ 5x+y=-29 \end{gathered}`

Sol:.

`\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}`

So here is no solution of the linear equation.