elimination 3x+2y=3 9x-8y=-2?

Answer 1

Multiply one of the equations by a number so that when you add them up they equal to 0. Since the second one has a negative 8, I multiplied the first one by 4 so that the second y equals positive 8 and the y's cancel.

3x+2y=3
9x-8y=-2

(4)3x+(4)2y=(4)3 SO 12x+8y=12
9x -8y= -2

12x+8y=12
9x -8y= -2
---------------
21x=10
x=10/21 <-----

Since you know the x, now you can solve for y by plugging it into either one of the equations. I picked the first one.

3(10/21)+2y=3
10/7 +2y = 3
2y = 11/7
y=22/28 = 11/14 <-----

Check your answer
3(10/21)+2(11/14)=3
9(10/21)-8(11/14)=-2

If you work them out or plug them both into your calculator they should be correct.

Answer 2

Since 3x+2y=3 you can rearrange this equation to find out what x is and then eliminate it in the other equation.

subtracting 3x from both sides of first equation gives you 2y=3-3x so y= 3/2 - 3/2x. Now put that in the other equation where y is.

You get 9x-8(3/2-3/2x)=-2. When you combine similar terms you get 9x-12-12x=-2. Further combining you get 9x-12x=-2+12 or -3x=10. Divide both sides by 3 and you get x=-10/3

Now that you know x put it back in the first equation to get y. You will have 3(-10/3)+2y=3. Now you combine to get -10+2y=3 or 2y=-7. When you divide both sides by 2 you get y=-7/2

Now you have x and y.

Answer 3

3x+2y=3 and 9x-8y=-2
multiply 3x+2x+3 all by 4, to cancel out the y variable.
12x+8y=12 add the 2 equations
+
9x-8y=-2
21x=10
x=10/21

substitute the x into one of the equations to get y.

Answer 4

Multiply equation throughout by 3 so yoy can subtract and eliminate x
then subtrace equation 2 from new equation 1
14y = 11
y = 11/14
then substitute the answer into one of the original equations to find x

Answer 5

if the equation is right, then x would have to be 0.47619 and y would have to be 0.785715. that is if the equation is rite.