Answer:
1. A(3/2,6)
B(15,33)
2.A(2/9,1/3)
B(2/3,-1/3)
Step-by-step explanation:
1) y−2x=3; A(...; 6), B(15; ...)
We know y =6
Substitute this into the equation
6 -2x =3
Subtract 6 from each side
6-6 -2x=3-6
-2x = -3
Divide by -2
x = -3/-2
x = 3/2
A(3/2,6)
We know x = 15
y - 2(15) =3
y - 30 = 3
Add 30 to each side
y-30+30 = 3+30
y = 33
B(15,33)
2) 4.5x+3y=2; A(...; 1/3 ), B( 2/3 ; ...)
We know y = 1/3
4.5x + 3(1/3) = 2
4.5x +1 =2
Subtract 1 from each side
4.5x +1-1=2-1
4.5x = 1
Divide each side by 4.5
x = 1/4.5
x = 10/45
x =2/9
A(2/9,1/3)
Let x =2/3
4.5(2/3) +3y =2
3 +3y =2
Subtract 3 from each side
3-3+3y = 2-3
3y = -1
Divide by 3
y = -1/3
B(2/3,-1/3)
