Question

Given the equation 2x = 4y - 3 write another linear equation that would create a system that has the number of solutions listed

Answer 1

Answer:

A. $2x-4y=\pi$
B.  $x=1$

C. $2x-4y=3$

Step-by-step explanation:

A. $2x-4y=\pi$. Any number could work as long as the coefficients for x and y stays the same. You are basically imposing that the quantity 2x-4y (if you bring 4y to the LHS) is equal to both -3 AND $\pi$, or any number you like. But yesterday was 3/14 so let's pick a fun number!

B.  $x=1$ Or $y=1$. Or as long as you don't pick the same ratios of x and y you're golden. But x=1 is the easiest that comes to mind

C. $2x-4y=3$. To get infinitely many solutions you just have to rewrite the equation again. Maybe move things around if you prefer, or multiply everything by a number you lile.