Question

How many solutions does the following system of linear equations have?y = 5x - 2y = -5x + 4O No solutionsOne solutionTwo solutionsO Infinite solutions

Answer 1

`\begin{gathered} \text{ One solution:} \\ x=(3)/(5) \end{gathered}`

Explanation:

Given the following system of equations:

`\begin{gathered} y=5x-2\text{ (1)} \\ y=-5x+4\text{ (2)} \end{gathered}`

By the substitution method, substitute (2) into equation (1):

`\begin{gathered} -5x+4=5x-2 \\ 4+2=5x+5x \\ 6=10x \\ x=(6)/(10) \\ x=(3)/(5) \end{gathered}`