how do i slove this math equation?

Question

2x-3y=5000
4x-5y=45000

Answer 1

try to get one of the variables to "disappear". looks like u can multipy the top equation by 2, in order to get 4x, and then subtract the 2nd equation to figure out y:


2(2x-3y)= 2(5000)

4x - 6y = 10,000 (now u SUBTRACT the 2nd formula)
-(4x- 5y = 45,000)

4x - 6y = 10,000
-4x + 5y = -45,000
_________________-

0x -1y = -35000

y = 35,000

plug in y=35000 to the 1st equation:

2x -3(35000) = 5000

2x - 105,000 = 5000

2x = 110,000

x = 55,000

check: 4(55,000) - 5(35,000) = 45000

220,000- 175,000 = 45,000

yay!

Answer 2

2x-3y=5000 (eqn 1)
4x-5y=45000 (eqn 2)

multiply eqn 1 by 2 so that you create a 4x term. You want to use that to eliminate the 4x in equation 2 so that you only have a y = numbers type equation. Once you've worked out y you can put the value of y in one of the equations above to find x.
So eqn 1 times two gives you:

4x-6y=10000

Now take this new equation away from equation 2 to give you:

y=35000

put this value for y in eqn 1 and you get
2x-105000=5000
so 2x=110000

so x=55000

Answer 3

2x - 3y = 5000
4x - 5y = 45000

First, solve for x:
2x - 3y = 5000
2x = 5000 + 3y

x = (3y + 5000)/2

Then plug that value for x into your 2nd equation:

4((3y + 5,000)/2) - 5y = 45,000

12y/2 + 20,000/2 - 5y = 45,000

6y + 10,000 - 5y = 45000

y = 35,000

You have found y! Now, plug the value for y back in to the first equation, and solve:

2x - 3(35,000) = 5,000

2x - 105,000 = 5,000

2x = 110,000

x = 55,000

Voila!

Answer 4

multiply first eqn by 2
4x - 6y = 10000

Take away from second
4x - 5y - 4x + 6y = 45000 - 10000
y = 35000

Substitute in first
2x - 105000 = 5000
2x = 110000
x = 55000

Answer 5

Simultaneous equation I believe. Elimination method.

Answer 6

sry i suck at those!