Noah and Lin are solving this system: {8x+15y=58
12x−9y=150
Noah multiplies the first equation by 12 and the second equation by 8, which gives:
{96x+180y=696
96x−72y=1,200
Lin says, “I know you can eliminate x by doing that and then subtracting the second equation from the first, but I can use smaller numbers. Instead of what you did, try multiplying the first equation by 6 and the second equation by 4."
a. Do you agree with Lin that her approach also works? Complete the following to explain your reasoning.
, 1 of 4.
Yes
. With Lin's strategy, the coefficient of x in both equations is , 2 of 4.
Select Choice
. Subtracting the two equations eliminates x.
b. Complete the following to describe the smallest whole-number factors by which you can multiply the equations in order to eliminate x.
Multiply the first equation by , 3 of 4.
Select Choice
and the second equation by , 4 of 4.
Select Choice
.
(Lesson 2-16)
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