The right answer is 2)
[tex]\left \{ {{-2x+4y=18} \atop {4x-8y=-36}} \right.[/tex]
Recall that, in systems of linear equations, when the number of equations is the same as the number of variables there is likely to be a solution. This is not guaranteed, but for sure it is possible to find a solution.
So the case of Infinitely many solutions claims for the same lines. These systems are called consistent. Thus, if we isolate the variable [tex]y[/tex] of each equation we have:
[tex]\left \{ {{y=\frac{x}{2}+\frac{9}{2}} \atop {y=\frac{x}{2}+\frac{9}{2}}} \right.[/tex]
As you can see these equations are the same, therefore they represent the same line as indicated in the Figure below.
Answer:
The correct answer is 2) −2x + 4y = 18 4x − 8y = −36
Step-by-step explanation:
I just took the test, tried the expert verified and of course it was wrong like always
