Question

Classify the system of equations and identify the number of solutions.
5x + y = 2
2y = 4 − 10x

Answer 1

rearranging the second equation in same order as the first we get
10x + 2y = 4
now compare it to the first:-
5x + y = 2

Answer 2

do you notice any relation between the 2 equations?

Answer 3

these are a syytem of linear equations with 2 unknowns

Answer 4

notice that if we multiply the second equation by 2 we get the first one

Answer 5

these are the same equation If we plot them on a graph we'll get the same line
This means there are infinite solutions