Question

same problem : solve the following system of equations
5x-2y=1
10x-4y=7

Answer 1

No solution

Answer 2

Moneybird copied my answer.

Answer 3

How? I just logged on

Answer 4

that's cheating.

Answer 5

first solve for either x or y in one of your equations, which one do you want to start with?

Answer 6

i guess x

Answer 7

ok, so lets look at your first equation, 5x-2y = 1 if we solve this for x that means we need to x on one side by itself, so we need to move the -2y to the other side, which will make it a +2y giving us: 5x = 2y +1

Answer 8

so now we still don't have x by itself, so we need to divide everything by 5:

x = 2/5 y +1/5

Answer 9

now we know what x is equal to and we can put that into our second equation to get the answer for y. so since x= 2/5 y +1/5, we put that into our second equation as a replacement for x:

10(2/5 y +1/5)-4y=7

Answer 10

now we can divide 5 into 10 so we can get rid of those gross fractions. that will leave us with:

2(2y+1) - 4y = 7

Answer 11

now we want to multiply the 2 that was leftover from the 10 into the parenthesis:

2y + 2 -4y = 7

Answer 12

now we combine like terms and get:

-2y + 2 = 7

and solving for y we get:

-2y = 5

y= -(5/2)

Answer 13

now that we know what y is, we can go waaaaaayyyy back to when we figured out what x was equal to and plug it in. so we get:

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

Answer 14

multiplying that out gives us:

x= -1 + (1/5)

Answer 15

which can be simplified as x = -(4/5)

Answer 16

can you please draw it out its confusing reading it out this way

Answer 17

so now you have your x and your y and your problem is almost complete! the last thing left is to write them out all nice and neat so that your teacher doesnt miss anything.

y= -(5/2) x= -(4/5)

Answer 18

............... yup.

Answer 19

thank youuuu