Where do the following lines meet on a coordinate system? e.g. (x,y)
x+3y=4
2x-y+8
you may have written the second equation down wrong. if it is 2x-y=8 then the answer is (4,0)
thanks now how did you solve it
what did you do?
change x+3y=4 to x=-3y+4. substitute that into the second equation to get 2(-3y+4)-y=8, then solve
thanks
I have just found Jiskha but i will remember for the rest of my high school carreer
To find where the two lines meet on a coordinate system, we need to solve the system of equations.
The given equations are:
1) x + 3y = 4
2) 2x - y + 8 = 0
We can solve this system using either the substitution method or the elimination method. Let's use the elimination method in this case.
First, let's multiply equation 1 by 2 to make the coefficients of x in both equations equal:
2(x + 3y) = 2(4)
2x + 6y = 8
Now we have the following equations:
1) 2x + 6y = 8
2) 2x - y + 8 = 0
To eliminate the x terms, subtract equation 2 from equation 1:
(2x + 6y) - (2x - y) = 8 - 0
2x + 6y - 2x + y = 8
7y = 8
Simplifying further, we have:
7y = 8
Now, isolate y by dividing both sides of the equation by 7:
y = 8/7
Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use equation 1:
x + 3(8/7) = 4
x + 24/7 = 4
To isolate x, subtract 24/7 from both sides:
x = 4 - 24/7
x = (28 - 24)/7
x = 4/7
Therefore, the two lines intersect at the point (4/7, 8/7) on the coordinate system.