A student claims that he can solve 12x + 8y = 40 and 4x + 5y = 18 for x and y by adding the first equation to a multiple of the second equation. He can then use the new equation and the first equation to create a new system that has the same solution as the original system. The student begins by listing four different equations.
Determine whether the student can use that equation to replace the second equation and create a new system that has the same solution. Select Yes or No for each equation.
Yes No
12x + y = 40
OO
12x + 10y = 36 OO
20x + 16y = 48 0 0
20x + 18y = 76 O