A system of equations with variables x

Question

and y
is given below.

ax+by=c

dx+ey=f

A student proposes that this system can be solved by elimination, multiplying the second equation by ad
and then adding the result to ax+by=c
to eliminate the x
term.

Is the student's statement true? If it is false, provide an alternative method.

(1 point)
Responses

This statement is false. One way to solve this system by elimination is to multiply the second equation by ed
, adding the result to the first equation to eliminate the x
term.
This statement is false. One way to solve this system by elimination is to multiply the second equation by StartFraction e over d EndFraction , adding the result to the first equation to eliminate the x term.

This statement is false. One way to solve this system by elimination is to multiply the second equation by da
, adding the result to the first equation to eliminate the x
term.
This statement is false. One way to solve this system by elimination is to multiply the second equation by StartFraction d over A EndFraction , adding the result to the first equation to eliminate the x term.

This statement is false. One way to solve this system by elimination is to multiply the second equation by ad
, subtracting the result from the first equation to eliminate the x
term.
This statement is false. One way to solve this system by elimination is to multiply the second equation by StartFraction A over d EndFraction , subtracting the result from the first equation to eliminate the x term.

This statement is true.

Answer 1

This statement is false. One way to solve this system by elimination is to multiply the second equation by \(ed\), adding the result to the first equation to eliminate the \(x\) term.