Answer:
Solution of given system of equations is: x=4, y=-2 or (4,-2)
Step-by-step explanation:
Solve the equation using substitution
4x+y=14
x-2y=8
Substitution method involves placing value of x or y from one equation to other equation.
We have
[tex]4x+y=14--eq(1)\\x-2y=8--eq(2)\\[/tex]
Finding value of x from equation 2
x-2y=8
x=2y+8
Put this value of x in equation 1
[tex]4x+y=14Put\:x=2y+8\\4(2y+8)+y=14\\8y+32+y=14\\9y=14-32\\9y=-18\\y=\frac{-18}{9}\\y=-2[/tex]
We get y=-2
Now, put value of y into equation 2 to find value of x
[tex]x-2y=8\\x-2(-2)=8\\x+4=8\\x=8-4\\x=4[/tex]
We get x = 4
So, solution of given system of equations is: x=4, y=-2 or (4,-2)
