I forget how to do this...it's math stuff?

Question

2x + 3y = 1
2x + 4y = 3

???
can u show me how to do it instead of just giving the answer
thanks a bunchh

oh and i have to know x and y i forgot to tell ya that

Answer 1

2x + 4y = 3 ..........a
2x + 3y = 1............b
subtracting (a-b) or a + (-b)
2x + 4y = 3 ..........a
-2x + (-3y) = (-1)............b
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0 + 1y = 2 ................c
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therefore ,
y=2

put y=2 in a

2x + 3(2) =1
2x+ 6= 1

take 6 to right hand side , with a sign change,
2x = 1-6
2x= -5

x= -5/2

x= 2.5

Answer 2

There are various ways to approach solution of a simple system of equations. In this case the most obvious step is to subtract the first equation from the second.

2x - 2x + 4y - 3y = 3 - 1
y = 2

Then substitute this y value into either of the equations to find the corresponding x value.

2x + 3(2) = 1
2x + 6 = 1
2x = -5
x = -5/2

Check in the other equation

2(-5/2) + 4(2) = 3
-5 + 8 = 3
3 = 3

Answer 3

2x + 3y = 1
2x + 4y = 3

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Elimination of x

Multiply the top equation by -1

-1(2x) + (- 1)(3y) = -1(1)

-2x -3y = -1
2x + 4y = 3
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y = 2

Insert the y value into the top equation

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Solving for x

2x + 3y = 1

2x + 3(2) = 1

2x + 6 = 1
-6 -6

subtracting -6 from both sides

2x = - 5

2x/2 = -5/2

Dividing both sides by 2

x = - 2.5

Insert the x value into the top equation

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2x + 3y = 1

2(-2.5) + 3(2) = 1

- 5 + 6 = 1

1 = 1

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bottom equation

2x + 4y = 3

2( -2.5) + 4(2) = 3

- 5 + 8 = 3

3 = 3

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The answer is:

X = 2.5
y = 2

Answer 4

What you can do is subtract the two equations from each other.

So,

2x + 4y = 3
- 2x + 3y = 1

Take 2x - 2x which = 0
4y - 3y which = 1y
and 3 - 1 = 2

you have y = 2 so you put 2 into one of the equations (let's say the first one) and get 2x + 4(2) = 3

2x + 8 = 3 so 2x = -5 and x = -5/2

Answer 5

Looking at the second equation compared to the first, the second one has the same x's, one more y, and 2 more on the right side, so y has to be 2.

Solving for x is easy just using the first equation...

--- 2x + 3(2) = 1
--- 2x + 6 = 1
--- 2x = -5
--- x = -5/2 = -2.5

Answer 6

Notice that the difference between the top line and the bottom line on the left is 1y, and on the right is 2. So that extra y must be worth 2. So all the y's are worth 2.

That means that 2x+3(2)=1. 6 more than 2x is 1. So 2x must be 6 less than 1. 2x=-5. So x=-5/2.

Answer 7

1st equation -> 2x + 3y = 1
2nd eduation ->2x+4y = 3

so from 1st equation 2x = 1 - 3y therfore x = 1/2 - 3/2y
or x = (1-3y)/2
put this value for x in equation 2 to find y

so equation 2 -> 2x +4y =3 becomes 2(1/2 -3/2y) + 4y = 3
opening the brackets you get 1-3y + 4y = 3
which becomes 1 + y = 3 simplified
keep the y on one side therfore y = 3-1
and y = 2

Answer 8

Well, take the first equation, and solve for either x or y. Then, just plug that into the second equation.

So, 2x + 3y = 1 becomes

2x = 1-3y, so
x = (1-3y)/2

Now put that value of x into the second equation, and solve for y. Once you get y, find x :)

Answer 9

(2x+3y=1)-(2x+4y=3)
then u get -y=2 therefore y=2
applyiny y=2
2x+6=1
2x=1- 6=-5
x=-5/2=-2.5

x= -2.5
y=2

Answer 10

These are simultaneous equations, you can solve them by any of these methods: susbstitution, graphing, cross-multiplication, and addition. I have solved given equations here:

2x + 3y = 1.......................(1)
2x + 4y = 3.......................(2)

Simplifying (1),
2x=1-3y .........................(3)
Simplifying (2),
2x=3-4y ..........................(4)

From (3) and (4), we have:
1-3y=3-4y ...................(5)
Solving (5), we get:
y=2.

Now, Substituting the value of y=2 in (1),
we get
x=-5/2.

Therefore, your answer is x=-5/2 and y=2