What is the 1/5x+1/3y=4/5 and 1/5x+2y=54/5 if using the method of substitution?

Question

ganeshie8 · Answer

isolate 1/5x value from the first equation,
substitute it in the second equation

anonymous · Answer

How do I do that?

ganeshie8 · Answer

Your first equation :
 1/5x+1/3y=4/5

subtract 1/3y both sides, what do you get ?

anonymous · Answer

1/5x = 1/2?

ganeshie8 · Answer

careful, you cannot subtract apples and coconuts

ganeshie8 · Answer

substitute this value in second equation and solve y

anonymous · Answer

1/5x + 2(5-1/3y)=54/5

ganeshie8 · Answer

noo, you need to substitute it for 1/5x

anonymous · Answer

combine the y's?

ganeshie8 · Answer

you need to get the common denominator to combine fractions

anonymous · Answer

this is not looking right: 3/3y = 54

ganeshie8 · Answer

yeah we made a mistake, lets work it again

ganeshie8 · Answer

1/5x+1/3y=4/5 

subtract 1/3y both sides :
1/5x = 4/5 - 1/3y

substitute this value in second equation :
4/5 - 1/3y +2y=54/5

multiply through by 15 :
12 - 5y + 30y = 162
25y = 150
y = 6

ganeshie8 · Answer

substitute the y value in any one of the given equations and solve x

anonymous · Answer

x=-.59

ganeshie8 · Answer

that doesn't look correct... check your work once...

ganeshie8 · Answer

1/5x+1/3y=4/5

plugin y = 6
1/5x + 1/3(6) = 4/5

1/5x + 2 = 4/5

multiply through by 5 :
x + 10 = 4
x = ?

anonymous · Answer

-6

anonymous · Answer

(-6,6)

ganeshie8 · Answer

Looks good !

anonymous · Answer

thank you!!!