Question

Solve the system:
2x + 8y = 1
x = 2y

Answer 1

Hello there, as x = 2y, we can write x as 2y in the first equation.

\( \color{Black}{\Rightarrow 2(2y) + 8y = 1 }\)

\( \color{Black}{\Rightarrow 4y + 8y = 1}\)

Answer 2

Can you solve for \(y\)?

Answer 3

\(x\) is whatever you get when you replace \(y\) in either equation by what you get for \(y\)

Answer 4

Find \(x\) after solving for \(y\). Since x is two times y, just multiply 2 to y for getting x.

Answer 5

umm 12y=1?

Answer 6

Yep

Answer 7

Now divide both sides by 12, and you get y = 1/12

Answer 8

y=1?

Answer 9

What do you get for x? You multiply two to y, so 1/12 * 2

Answer 10

12y = 1
1y = 1/12

Find x by multiplying 2 to y

Answer 11

Plug 2y into the first equation for x.

2(2y) + 8y = 1

4y + 8y = 1

12y = 1

y = 1/12

Now to find x, substitute 1/12 into one of the equations for y.

x = 2(1/12)
x = 1/6

Answer 12

y = 1/12
x = 1/6

:)