A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Solve the following system of equations and show all work: y = 2x2, y = –3x − 1.
Equations are the backbone of mathematics. There can be many types of equations like quadratic equations, linear equations, and many others.
Answer: The solution of the system of equations y = 2x2, y = –3x − 1 is x = = -1, -1/2.
Let's understand the solution in detail.
Explanation:
In this problem, we use the method of substitution to solve the problem
Given equations:
y = 2x2 --------- (1)
y = –3x − 1 --------- (2)
Now, we substitute the value of (1) in (2)
⇒ 2x2 = -3x - 1
⇒ 2x2 + 3x + 1 = 0
Now, we use the quadratic formula to solve the equation above.
⇒ x = [-3 ± √{32 - 4(2)(1)}] / 2(2)
⇒ x = [-3 ± 1] / 4
⇒ x = -1, -1/2
Hence, the solution of the system of equations y = 2x2, y = –3x − 1 is x = = -1, -1/2.
Math worksheets and
visual curriculum
visual curriculum