Question

What is the solution to the system of equations?2x – y = 7y = 2x + 3(2, 3)(2, 7)no solutioninfinite number of solutions

Answer 1

Given

`\begin{gathered} 2x-y=7 \\ y=2x+3 \end{gathered}`

Solution

I will solve your system by substitution.

`y=2x+3;2x−y=7`
`\begin{gathered} Step:Solve\text{ }y=2x+3for\text{ }y: \\ \\ Step:Substitute\text{ }2x+3\text{ }for\text{ }y\text{ }in\text{ }2x−y=7: \\ 2x−y=7 \\ 2x−\left(2x+3\right)=7 \\ \\ −3=7\text{ \lparen Simplify both sides of the equation\rparen} \\ −3+3=7+3\text{ }\left(Add\text{ }3\text{ }to\text{ }both\text{ }sides\right) \\ 0=10 \\ \end{gathered}`

The final answer

No solutions