Question

y=-x+6
4y=x-1 solution?

Answer 1

work them out simultaneously and ill let u know how ur doing :)

Answer 2

could you teach me step by step please @HawkCrimson

Answer 3

np :) ill show u the substitution method

Answer 4

using this method, u take one equation and sub it into the other like this
Since y=-x+6 then
4(-x+6)=x-1understand? i sub line 1 into line 2

Answer 5

oh okay got that @HawkCrimson

Answer 6

can u continue from here?

Answer 7

ill try

Answer 8

I got -4x+24=x-1 @HawkCrimson

Answer 9

perfect :D continue :))

Answer 10

ok do I do variable next

Answer 11

@HawkCrimson

Answer 12

you move it to -4x-x=-1-24, so you get -5x=-25, so x=5. Does that make sense?

Answer 13

@raevenbennett understood wat anthony did?

Answer 14

yes @anthony.ruhland

Answer 15

To put it more succinctly, you have a system of 2 equations:
y=-x+6 & 4y=x-1.
If you take the 1st equation, which is solved/expressed in terms of y into the second equations y variable, you get 4(-x+6)=x-1.
Then distribute the 4 in the (-x+6), which gives you -4x+24.
Now solve this equation, -4x+24=x-1, for x by getting x to one side of the equal sign and the constants on the other. this yields, -5x=-25. Divide both sides by -5 and you get x=5.
Now take your calculated value for x and substitute it into the 1st equation, then solve it for y. y=5+6 which yields y=11.
There you have it. x=5 & y=11.
This works the other way around also. Meaning you could have solved the original second equation for y, by dividing both sides by 4. This would have given you (x-1)/4. While this will work, the fractional value for y makes the math a little more work and therefore introduces a chance for mistakes over the 1st route.

Answer 16

...too much words

Answer 17

OK.
(1)y=x+6 & 2) 4y=x-1
Take the 1st value for y and substitute in the 2nd equation's y term.
2) 4(x+6) = x-1
2) 4x + 24 = x - 1
2) -5x = -25
2) x = 5
Now plug this value for x back into the 1st equation. 1) y=x+6
1) y = 5 + 6
1) y = 11
x = 5 & y = 11

Answer 18

better :)

Answer 19

Thanks. I'm used to being in front of white board :-)

Answer 20

these are the answers A.(3, -2) B.(-1, 5) C.(-2, 3) D.(5, 1)

Answer 21

@jlightfoot

Answer 22

Sorry, I was helping someone else. Where did the 4 coordinates come from? I looked back at the original question and I only saw 1 system of 2 equations. Where there more?