Step-by-step Answer:
What is the solution to the system of equations?
y = –3x – 2 ..............(1)
5x + 2y = 15..............(2)
Substitute (1) in (2) to give
5x + 2(-3x-2) = 15
5x-6x-4 = 15
-x-4=15
solve for x:
-4-15 = x
x=-19
Now substitute x=-19 into equation (1)
y = -3x-2 = 57-2 = 55
Therefore the solution is (-19, 55)
The solution of system of equations are (-19, 55)
The given system of equations are,
[tex]y=-3x-2..........(1)\\\\5x+2y=15........(2)[/tex]
Substituting the value of y from equation 1 into equation 2.
[tex]5x+2(-3x-2)=15\\\\5x-6x-4=15\\\\x=-4-15=-19[/tex]
Substituting the value of x in equation 1
[tex]y=-3(-19)-2\\\\y=57-2=55[/tex]
Thus, the solution of system of equations are (-19, 55)
Learn more:
https://brainly.com/question/12526075
