4x-3y=8
y=4(x+2)
4x-3y=1
3x-y=-2
3x=-6y+3
2y=-x+1
-CAN SOMEONE PLEASE SHOW ME HOW YOU COULD SOLVE THESE BY ELIMINATION OR SUBSTITUTION?
Please and thank you.
y=4(x+2)
4x-3y=1
3x-y=-2
3x=-6y+3
2y=-x+1
-CAN SOMEONE PLEASE SHOW ME HOW YOU COULD SOLVE THESE BY ELIMINATION OR SUBSTITUTION?
Please and thank you.
-
4x-3y=8 y=4(x+2)=4x+8 sub. y=4x+8 into first equation
4x-3(4x8)=8
4x-12x-24=8
-8x-24=8
-8x=8+24=32
x=32/-8= - 4 back sub into equation of choice
4(-4)-3y=8
-16-3y=8
-3y= 8+16=24
y=24/-3=-8
{(-4,-8)} is the solution to the system of equations
_____________________
4x-3y=1 3x-y= -2 multiply second equation by -3 to eliminate y, -9x+3y=-6
4x-3y=1
+-9x+3y=-6
= -5x+3y=-5
-5x=-5
x=1 put x value into either equation, solve for y
4(1)-3y=1
4-3y=1
-3y=1-4= -3
y=3
{(1,3)} is the solution to the system
___________________________
3x=-6y+3 2y=x+1 change to x=2y-1 and sub into first equation
3(2y-1)=-6y+3
6y-3=-6y+3
6y+6y=3+3
12y=6
y=6/12=1/2
sub into x=2y-1
x=2(1/2)-1=0
{(0,1/2)} is the solution to the system
4x-3(4x8)=8
4x-12x-24=8
-8x-24=8
-8x=8+24=32
x=32/-8= - 4 back sub into equation of choice
4(-4)-3y=8
-16-3y=8
-3y= 8+16=24
y=24/-3=-8
{(-4,-8)} is the solution to the system of equations
_____________________
4x-3y=1 3x-y= -2 multiply second equation by -3 to eliminate y, -9x+3y=-6
4x-3y=1
+-9x+3y=-6
= -5x+3y=-5
-5x=-5
x=1 put x value into either equation, solve for y
4(1)-3y=1
4-3y=1
-3y=1-4= -3
y=3
{(1,3)} is the solution to the system
___________________________
3x=-6y+3 2y=x+1 change to x=2y-1 and sub into first equation
3(2y-1)=-6y+3
6y-3=-6y+3
6y+6y=3+3
12y=6
y=6/12=1/2
sub into x=2y-1
x=2(1/2)-1=0
{(0,1/2)} is the solution to the system