How many solutions does the system have? 5y = 15x -- 40 y =3x-- 8
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
5y = 15x - 40
y = 3x - 8
Determine how man solutions does the equations have.
Solution:
This can be done by equating the two equations into 0, but first we must simplify the first equation.
5y = 15x - 40
Divide both sides by 5.
y = 3x -8
It can be seen that the first equation and second equation has the same value, therefore we can assumpt that it only has one solution. To find that solution, we equate by 0.
3x - 8 =0
Transpose -8 on the other side of the equation, note that when transposing a number, we change its sign.
3x = 8
x = 8/3
Final answer:
x = 8/3