Question

Determine the values of n and m so that the following system have infinite number of solutions

Answer 1

n = 3

m = -1/2

Explanation:

Multiply the second equation by 4

4(n - 2)x + y = 4(n + m) Y is now correct.

4(n - 2) = 4 Remove the brackets

4n - 8 = 4 Add 8 to both sides

4n = 8 + 4 Combine

4n = 12 Divide by 4

n = 3 x is now correct

4(n - 2) = 4

4(3 -2) = 4

4 = 4

Now you have to worry about m

4(n + m) = 10

n = 3

4(3 + m) = 10 Divide by 4

m + 3 = 10/4

m + 3 = 2.5 Subtract 3 from both sides.

m = 2.5 - 3

m = - 1/2