a) True (4,3) is a solution.
b) False
d) False
e) False
1) To verify a solution is to plug each x, and y into each function and see if this s true
a) (4,3)
y=0.5x +1
3 =0.5(4)+1
3 =2+1
3=3 true
y=0.6x+0.6
3=0.6(4)+0.6
3=2.4 +0.6
3=3 true
b) (-4,0)
y=0.5x +2 ⇒ 0 = 0.5(-4) +2 0 = -2+2 0=0 true
y= -4/3x+2 ⇒ 0= -4/3(-4) +2 0 ≠ -22/3 false
d) (3,-2)
y=-5x+13 ⇒ -2 = -5(3)+13 ⇒ -2 = -15 +13 ⇒ -2 = -3 false
y=7/3x-9
e) (-3.5, -1.5)
y=2.5x +7.25 ⇒ -1.5=2.5(-3.5) +7.25 ⇒ -1.5 =-1.5
y=-2.5x -10.25⇒ -1.5 = 2.5(-3.5) -10.25 ⇒ -1.5≠ 19
As we can see a valid solution must satisfy both equations. So the answer is
a) True
b) False
d) False
e) False