Question

How would you solve this? If you know x +y = .5 and x(1)+y(4)=1 then what is y??

Answer 1

You have various methods from which to choose to solve this system of linear equations:
1. elimination by substitution
2. elimination by addition/subtraction
3. graphing

Which of this have you used before?

Answer 2

Substitution.... but when I solve for x and get x= 1-y(4) and plug it into the equation don't the y(4) cancel to 0??

Answer 3

By

x +y = .5 and x(1)+y(4)=1

I think you mean

x +y = .5 (or 2x + 2y = 1)
and
x+4y=1

Do you agree or disagree with my interpretations?

Answer 4

No, that is correct

Answer 5

Choose which variable you wish to eliminate. Then choose one of the equations and solve it for that variable.

Answer 6

Wait I think I solved for y? y= 1/6? so then x= 3/2?

Answer 7

Wait no that doesn't add to 1...

Answer 8

you'll need to check your answer yourself, by subsitution.

Again: solve ONE of the two equations for either x or y. Type your result here/

Answer 9

I do agree with your y=1/6. Find x.

Answer 10

thank you! I figured it out correctly. y=1/6 and x=1/3

Answer 11

I'm glad for you!