deleted.
1. 4x + ay = -8 (1)
2x + y = b multiply through by 2 ⇒ 4x + 2y = 2b (2)
This will have infinite solutions when (1) and (2) are the same
So a = 2
And -8 = 2b ⇒ b = -4
So (a, b) = ( 2, - 4)
2. What is the y-intercept of the line x-2y=5?
The y intercept occurs where x = 0......so....
(0) - 2y = 5
-2y = 5 divide both sides by -2
y = -5/2 = the y intercept
3.Find the value of n that satisfies \(\frac{1}{n+1} + \frac{2}{n+1} + \frac{n}{n+1} = 3\)
[ 1 + 2 + n ]
__________ = 3 multiply through by n + 1
n + 1
3 + n = 3n + 3 subtract n, 3 from both sides
0 = 2n
n = 0