<h2>2x+y=2</h2>
Step-by-step explanation:
Let
be the point ![(-1,4)](https://tex.z-dn.net/?f=%28-1%2C4%29)
Let
be the point ![(3,-4)](https://tex.z-dn.net/?f=%283%2C-4%29)
The equation of the line passing through two points ![p1=(x_{1},y_{1})](https://tex.z-dn.net/?f=p1%3D%28x_%7B1%7D%2Cy_%7B1%7D%29)
and
is ![\frac{y-y_{1}}{x-x_{1}} =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By-y_%7B1%7D%7D%7Bx-x_%7B1%7D%7D%20%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
substituting
in the above equation yields
![\frac{y-4}{x-(-1)}=\frac{-4-4}{3-(-1)}](https://tex.z-dn.net/?f=%5Cfrac%7By-4%7D%7Bx-%28-1%29%7D%3D%5Cfrac%7B-4-4%7D%7B3-%28-1%29%7D)
which when simplified gives ![\frac{y-4}{x+1}=\frac{-8}{4}](https://tex.z-dn.net/?f=%5Cfrac%7By-4%7D%7Bx%2B1%7D%3D%5Cfrac%7B-8%7D%7B4%7D)
which when further simplified gives ![2x+y=2](https://tex.z-dn.net/?f=2x%2By%3D2)
The point where the lines intersect is the point that satisfies both equations.
It is (1, 5), selection C.
Answer:
A
Step-by-step explanation:
I think your right!
First you do what is inside the parentheses. 10 x 5 - 3. 50 - 3 =47. Then you multiply 47 x 5 = 235.
Answer:
x+3y = 6
or, x = 6-3y.................(1)
3x+5y =6..........(2)
Substituting x = 6-3y in equation (2),
3 (6 - 3 y)+5 y =6
or, 18 - 9y +5y=6
or, y = 3
x = 6 - 3y = 6- 3.-3 = -3