Given
system of equations
-5x+2y=4
10x-2y=-14
Find
The values of x and y
Explanation
by elimination method we find the values of x and y
- 5x + 2y = 4
2(5x - y)= - 14
this implies = 5x - y = - 7
two equations are
- 5x + 2y = 4 .............(1)
5x - y = - 7 ............(2)
add both equations (1) and (2)
[tex]\begin{gathered} -5x+2y+5x-y=4+(-7) \\ y=-3 \end{gathered}[/tex]substitute the value of y in equation (1)
[tex]\begin{gathered} -5x+2(-3)=4 \\ -5x-6=4 \\ -5x=10 \\ x=-2 \end{gathered}[/tex]Final Answer
Therefore , the values of x and y are -2 and -3 respectively
