What is the value of the x variable in the solution to the following system of equations?
2x + 3y = 1
3x - 4y = 10

Question

What is the value of the x variable in the solution to the following system of equations?
2x + 3y = 1
3x - 4y = 10

welshfella · Answer

Use  the elimination method : -
Multiply the first equation by 4 and the second equation by -3

The terms in y will then become  12y and -12y so adding the 2 equations eliminates y
The result will be an equation in x

welshfella · Answer

- which you solve for x.

anonymous · Answer

can you do this with every single substitution problem?

welshfella · Answer

This is the elimination method
Both the elimination and substitution method are used to solve systems of equations - the elimination method is usually the easiest one.

anonymous · Answer

after multiplying should i get 17x=43?

welshfella · Answer

8x + 12y = 4
9x - 12y = 30  adding:-
17x = 35

welshfella · Answer

I made an error in my first post - the second equation is multiplied by 3  not -3

anonymous · Answer

34?

welshfella · Answer

sorry 34

anonymous · Answer

thanks alot

anonymous · Answer

i have alot more questions would you mind answering

welshfella · Answer

yw 
- i dont know ehat wrong with me this morning - i keep on doing typos!!

welshfella · Answer

I have about 10 minutes so i can help with some

anonymous · Answer

What is the value of the y variable in the solution to the following system of equations?
13x - 6y = 20
7x + 4y = 18

anonymous · Answer

for this would you do the same and multiply line one by four and line two by 6

anonymous · Answer

is the correct asnwer 1

welshfella · Answer

- that would eliminate y  and you need to find y

anonymous · Answer

i changed my steps i multiplied by negative 7 and positive 13 and i got possitive one is that correct

welshfella · Answer

- but you could do it that  way - find x first - then y using substitution

anonymous · Answer

ohhhh that makes sense but is the answer positive 1

welshfella · Answer

lets see
91x  - 42y = 140
91x  + 52y =  234
add
8y = 374

welshfella · Answer

not sure if thats right - dont trust myself this morning

anonymous · Answer

the options were negative or positive one

welshfella · Answer

oh  
i;ll recheck

welshfella · Answer

ah - can you see my deliberate mistake  ( lol 1)

welshfella · Answer

since the 2 terms in x are positive you need to multiply first by 13 and the second by -7 not 7

welshfella · Answer

91x - 42y = 140
-91x -52y = -234

add 
- 94y = -94
y = 1

welshfella · Answer

hope i've helped
gotta go