To solve the system of equations using the substitution method, we can start by solving one equation for one variable and substituting it into the other equation.
From the first equation, we have x = y - 4.
Substituting this expression for x into the second equation, we get (y-4) + 8y = 2.
Simplifying this equation, we get 9y - 4 = 2.
Adding 4 to both sides, we have 9y = 6.
Dividing both sides by 9, we get y = 6/9 = 2/3.
Now that we have the value of y, we can substitute it back into the first equation to find the value of x.
Using x = y - 4, we have x = 2/3 - 4.
Simplifying this, we get x = -3 1/3.
Therefore, the solution to the system of equations is (x, y) = (-3 1/3, 2/3).
Use the substitution method to solve the system x=y−4 , x+8y=2 .(1 point)
Responses
(−313,23)
left parenthesis negative 3 Start Fraction 1 over 3 End Fraction comma Start Fraction 2 over 3 End Fraction right parenthesis
no solution
3 answers
so its a
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Yes, the solution to the system of equations is (−3 1/3, 2/3).
1 answer