Respuesta :
Answer:
11x - 20y = 28
3x + 4y = 36
multiply second equation by 5 (so when add two equations the y terms will cancel):
11x - 20y = 28
15x + 20y = 180
add two equations together:
26x = 208
x = 8
substitute 8 for x in equation 3x + 4y = 36 to solve for y:
3(8) + 4y = 36
24 + 4y = 36
4y = 12
y = 3
Explanation:
if I am right can I get brainless
Answer:
No solution (inconsistent system)
Explanation:
Solving the system
[tex]y=11x+20\\y=-2+11x[/tex]
Since both equations already have the "y" isolated, substitution of the first equation into the second equation will probably be the easiest.
[tex]11x+20=-2+11x[/tex]
[tex](11x+20)-11x=(-2+11x)-11x[/tex]
[tex]20=-2[/tex]
Since 20 never equals -2 (never, not for any value of x or y), then there is no solution to this system of equations. This system is classified as "inconsistent".
Alternative way to look at this problem
A different way of thinking about this problem would be to look at both equations in their slope intercept form:
[tex]y=11x+20\\y=11x-2[/tex]
Since both equations have a slope of 11, the lines are parallel. If their y-intercepts were the same, they would be parallel and overlapping. However, since their y-intercepts are different, they are parallel and not overlapping. Thus, they will never cross or touch each other.
Since a solution to a system of equations is visually where the lines cross or overlap, there is no solution to the system.
