Respuesta :
3x +4y = 8
y = 3/4x - 2
Substitution Method
3x + 4(3/4x -2) = 8
Distributive Property:
3x + 3x -8 = 8
Simplify:
6x -8 = 8
Add 8 to each side:
6x = 16
Divide both sides by 6"
x = 16/6
x = 2 2/3
Now replace x with that and solve for y:
y = 3/4(2 2/3) - 2
y = 2-2 = 0
y=0
Answer:
The solution is x=8/3 y=0
Step-by-step explanation:
3x+4y =8
y = 3/4x -2
We will use substitution since the second equation is already solved for y
Substitute the second equation into the first
3x+4(3/4x-2) = 8
Distribute the 4
3x +3x -8 = 8
6x -8 = 8
Add 8 to each side
6x -8+8 = 8+8
6x = 16
Divide by 6
6x/6 = 16/6
x = 8/3
Now we need to find y
y = 3/4 x -2
Substitute x=8/3
y = 3/4 (8/3) -2
y = 8/4 -2
y =2-2
y=0
The solution is x=8/3 y=0