Answer: 1. b
2. a
3. c
Explanation:
We will change the second equation to y form, then we get:
2x - y = - 6
- y = -2x - 6
y = 2x + 6
Then we plug in each point to see whether it fixes the equations.
a) 1. y = 3x + 8
4 ?= 3(-1) + 8
4 ?= -3 + 8
4 x 5
a) 2. y = 2x + 6
4 ?= 2(-1) + 6
4 ?= -2 + 6
4 = 4
Point a is a solution of the second equation, but not a solution for the first equation.
b) 1. y = 3x + 8
14 ?= 3(2) + 8
14 ?= 6 + 8
14 = 14
b) 2. y = 2x + 6
14 ?= 2(2) + 6
14 ?= 4 + 6
14 x 10
Point b only fits the first equation, but does not fix (not a solution) of the second equation.
c) 1. y = 3x + 8
2 ?= 3(-2) + 8
2 ?= -6 + 8
2 = 2
c) 2. y = 2x + 6
2 ?= 2(-2) + 6
2 ?= - 4 + 6
2 = 2
Point c fits both the first equations and the second equations.