112k views
2 votes
Use substitution to sole the system of equations

Use substitution to sole the system of equations-example-1

1 Answer

6 votes

Answer:

(0, 0)

(4, 16)

Explanation:


y = 4x


y = x^2

Using substitution, we can replace y in the second equation with 4x from the first equation.


4x = x^2

Now, we can move all the x's to one side and complete the square to solve for x.


0 = x^2 - 4x

↓ adding 4 to both sides


4 = x^2 - 4x + 4

↓ factoring the right side


4 = (x-2)^2

↓ taking the square root of both sides


\sqrt4 = \sqrt{(x-2)^2


\pm2 = x - 2

↓ adding 2 to both sides


2 \pm 2 = x


\boxed{x = 0 \ \ \ \text{or} \ \ \ x = 4}

Then, we can solve for y by plugging both x-values into the first equation.


y = 4(0) or
y = 4(4)


\boxed{y = 0 \ \ \ \text{or} \ \ \ y=16}

Finally, we can form two ordered pairs that are the solutions to the system of equations.


\boxed{(0,0)}


\boxed{(4,16)}

Use substitution to sole the system of equations-example-1
User Mpaton
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories