Respuesta :
Use x+2y=8
Subtract 2y to make
x=8-2y
Plug this in to the other equation
3(8-2y)+2y=6
Distribute the 3
24-6y+2y=6
Combine like terms
24-4y=6
Solve
18/4=y, 9/2=y
Plug and solve for x
X+2y=8
X+(2*9/2)=8
X+9=8
X=-1
Subtract 2y to make
x=8-2y
Plug this in to the other equation
3(8-2y)+2y=6
Distribute the 3
24-6y+2y=6
Combine like terms
24-4y=6
Solve
18/4=y, 9/2=y
Plug and solve for x
X+2y=8
X+(2*9/2)=8
X+9=8
X=-1
x + 2y = 8
3x+2y = 6
x + 2y =8
-2y -2y
x = 8 - 2y
Now replace the value for x into the second equation.
3(8-2y) - 2y
Distribute property
3*8 = 24
3*2y = 6y
24 - 6y - 2y = 6
24 - 8y = 6
-24 -24
-8y = -18
-8y/8 = -18/8
y = 2.25
Now replace the value for y into the equation.
x + 2(2.25) = 8
x + 4.5 = 8
-4.5 -4.5
x = 3.5
Now we have our two values.
x = 3.5
y = 2.25
3x+2y = 6
x + 2y =8
-2y -2y
x = 8 - 2y
Now replace the value for x into the second equation.
3(8-2y) - 2y
Distribute property
3*8 = 24
3*2y = 6y
24 - 6y - 2y = 6
24 - 8y = 6
-24 -24
-8y = -18
-8y/8 = -18/8
y = 2.25
Now replace the value for y into the equation.
x + 2(2.25) = 8
x + 4.5 = 8
-4.5 -4.5
x = 3.5
Now we have our two values.
x = 3.5
y = 2.25