Question

What is the best method to solve the below system of equations 3x + 2y =5 y=2x+3

Answer 1

Using substitution method
Your answer is

X=1
Y=1

Answer 2

ANSWER 1

Consider the given equation,

3x−2y=5

put x=0 then,

3×0−2y=5

y=−25

Now, put y=0 then,

3x−2×0=5

x=35

Hence, (0,−25)  and  (35,0) is the answer.

ANSWER

As can be seen, the line for y=2x+3 extends up to infinity all over the number line.

For x=0,y=3, For x=1,y=5, For x=2,y=7 

∴ For every value of x we get the different value of y   

Hence it will have infinitely many solutions.