Question

What is the solution to the system of linear equations below? - 2x + 5y 30

Answer 1

Answer: Infinite solutions

Step 1: Turn this into y=Mx+b form

The current equation is—

-2x+5y=30

Since we want to get y alone on the left side, let’s add 2x on both sides

-2x+5y=30
+2x +2x
____________
5y=2x+30

Step 2: Again, trying to get y alone, we need to divide 5 on both sides

5y=2x+30
/5 /5 /5
________
y=2/5x+6

Step 3: Now that we know how to find y, substitute that in where y is in the equation

-2x + 5(2/5x+6) = 30
-2x + 2x + 30 = 30
30=30

Seeing that you cannot get a specific answer for y when solving, there is an infinite number of solutions


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