Question

Solve the following system of equations-5x+2y=410x-2y=-14x=y=

Answer 1

Given

system of equations

-5x+2y=4

10x-2y=-14

Find

The values of x and y

Step-by-step 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)

`\begin{gathered} -5x+2y+5x-y=4+(-7) \\ y=-3 \end{gathered}`

substitute the value of y in equation (1)

`\begin{gathered} -5x+2(-3)=4 \\ -5x-6=4 \\ -5x=10 \\ x=-2 \end{gathered}`

Final Answer

Therefore , the values of x and y are -2 and -3 respectively