Solve the system using your prefer method. x + 2y = 3 2x + 4y = 8?

Answer 1

x + 2y = 3
x = 3 - 2y

2x + 4y = 8
2(3 - 2y) + 4y = 8
6 - 4y + 4y = 8
6 = 8

These lines are parallel. They both have a -1/2 slope. No solution.

Answer 2

X + 2Y = 3
subtract 2y from each side

X = 3 - 2Y
replace x in the first equation with 3-2y

3 -2y + 2y = 3

3 = 3

second equation
2x + 4y = 8

2x +4y - 4y = 8
subtract 4y from each side

2x = 8 - 4y
divide each side by 2

X = 8 - 4y/ 2 = X = 4 - 2y
substitute x in the equation

2(4 - 2y) + 4y = 8

8 - 4y + 4y = 8

8 = 8

Answer 3

x + 2y = 3
2x + 4y = 8

Rearrange first equation:
x = 3 - 2y

Substitute into second equation:
2(3-2y) + 4y = 8
6 - 4y + 4y = 8
0 = 2

No solution.

Answer 4

unsolveable

if you solve for x in the 1st eqn and then substitute that in for x in the 2nd eqn you get this

x + 2y = 3
x = 3-2y

substituting you get

2(3-2y) +4y = 8

6 -4y + 4y = 8
6 = 8 NOT VALID

These lines are parallel and do not intersect so there is no solution for these eqns.

Answer 5

on account that we've a gadget of equations with 2 unknowns and 2 equations we are able to discover values for x and y. there are various techniques of doing so. utilising the substitution technique we do right here: Write one equation in terms of one variable and replace this into the 2nd equation, utilising your occasion we are able to work out that the 2nd equation is already written in terms of y. so we are able to apply this and plug it into the 1st the place ever we see a y. Mathematically suggested: (a million) 7x = 2y + a million (2) y = -3x + 15 So, in (a million) the place ever we see a y we are able to plug in-3x + 15, we could do this: 7x=2(-3x + 15)+a million 7x=-6x+30+a million 7x=-6x+31 13x=31 x=31/thirteen. we've a numerical fee which we are able to plug into the two equation to get a value for y. to decrease blunders we could plug this into (2). y=-3(31/thirteen)+15 y=-ninety 3/thirteen+15 we are able to write 15 as 195/thirteen y=(-ninety 3+195)/thirteen y=102/thirteen plug our x and y into (a million) to envision our answer. 7(31/thirteen)=2(102/thirteen)+thirteen/thirteen that's a valid assertion, we are awesome on our numbers.

Answer 6

no solution. it is saying that 6 = 8.

Answer 7

It cannot be solved. The two equations will end up being contradictory.