Question

LE Answer two questions about Systems A and B: System A System B 3.7 +12y = 15 x+4y=5 10y = -2 73 - 10y = -2 1) How can we get System B from System A? Choose 1 answer: A Replace one equation with the sum/difference of both equations B Replace only the left-hand side of one equation with the sum/difference of the left-hand sides of both equations C Replace one equation with a multiple of itself D Replace one equation with a multiple of the other equation 2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution? Choose 1 answer: А Yes B No

Answer 1

The first equation from System A is what is called a linear combination of the first equation of System B: the equation are equivalent.

System A equation is equal to the System B equation multiplied by a factor of 3 on both sides, so they contain the same information.

Answer: Yes. The systems are equivalent as their equations are equivalent.