Question

Write a system of equations that satisfies each condition below: Infinitely many solutions Both equations are written in different forms.

Answer 1

`\begin{cases}y=-2x+5 \\ 4x+2y=10\end{cases}`

Step-by-step explanation

A system of two equations with infinite solutions is a system which equations both represent the same line.

For example, if we have the line y = -2x + 5, a product of this equation and any number will make another equation representing the same line. We can multiply it by 2 and have: 2y = -4x+10.

Hence, a system of equations could be:

`\begin{cases}y=-2x+5 \\ 4x+2y=10\end{cases}`

The first equation is in slope-intercept form and the second equation is in standard form