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Sagot :
Answer: x=4, y=-2
Step-by-step explanation: 4x+y=14, x-2y=8
4x+y-y=14-y
4x/4=14/4-y/4
x=14-y/4-(2y)(4)/4
4(14-9y)/4=(8)(4)
14-9y-14=32-14
-9y/-9=18/-9
y=-2
(14)-(-2)/4
14+2/4
16/4
4
x=4
x=4, y=-2
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)
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