Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Does (2,−1)(2, -1) make the equation y=5x2y = 5x^2 true?\newlineChoices:\newline(A) yes\newline(B) no

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Is (x, y) a solution to the nonlinear equation?right chevron icon

Full solution

Q. Does (2,−1)(2, -1) make the equation y=5x2y = 5x^2 true?\newlineChoices:\newline(A) yes\newline(B) no
  1. Identify Given Point and Equation: Step 11: Identify the given point and equation.\newlinePoint given: (2,−1)(2, -1)\newlineEquation given: y=5x2y = 5x^2\newlineWe need to substitute x=2x = 2 into the equation and check if yy equals −1-1.
  2. Substitute x=2x = 2: Step 22: Substitute x=2x = 2 into the equation y=5x2y = 5x^2.\newliney=5(2)2y = 5(2)^2\newliney=5×4y = 5 \times 4\newliney=20y = 20
  3. Compare Calculated and Given y-values: Step 33: Compare the calculated yy-value with the yy-value of the point.\newlineCalculated y=20y = 20\newlineGiven y=−1y = -1\newlineSince 20≠−120 \neq -1, the point (2,–1)(2, –1) does not satisfy the equation.

More problems from Is (x, y) a solution to the nonlinear equation?

Question
If −x2=−5y2+y3 -x^{2}=-5 y^{2}+y^{3} then find dydx \frac{d y}{d x} at the point (2,1) (2,1) .\newlineAnswer: dydx∣(2,1)= \left.\frac{d y}{d x}\right|_{(2,1)}=
Get tutor helpright-arrow

Posted 2 months ago

Question
If y2=2x2+y y^{2}=2 x^{2}+y then find dydx \frac{d y}{d x} at the point (1,2) (1,2) .\newlineAnswer: dydx∣(1,2)= \left.\frac{d y}{d x}\right|_{(1,2)}=
Get tutor helpright-arrow

Posted 2 months ago

Question
If −3−3x2−5y=−y3−y2 -3-3 x^{2}-5 y=-y^{3}-y^{2} then find dydx \frac{d y}{d x} at the point (−1,−2) (-1,-2) .\newlineAnswer: dydx∣(−1,−2)= \left.\frac{d y}{d x}\right|_{(-1,-2)}=
Get tutor helpright-arrow

Posted 2 months ago

Question
If 5x2−5−3y2=0 5 x^{2}-5-3 y^{2}=0 then find dydx \frac{d y}{d x} at the point (4,5) (4,5) .\newlineAnswer: dydx∣(4,5)= \left.\frac{d y}{d x}\right|_{(4,5)}=
Get tutor helpright-arrow

Posted 2 months ago

Question
If −2x2+y2+y3+3x=0 -2 x^{2}+y^{2}+y^{3}+3 x=0 then find dydx \frac{d y}{d x} at the point (2,1) (2,1) .\newlineAnswer: dydx∣(2,1)= \left.\frac{d y}{d x}\right|_{(2,1)}=
Get tutor helpright-arrow

Posted 2 months ago

Question
If y2+3x3=2y y^{2}+3 x^{3}=2 y then find dydx \frac{d y}{d x} at the point (−1,3) (-1,3) .\newlineAnswer: dydx∣(−1,3)= \left.\frac{d y}{d x}\right|_{(-1,3)}=
Get tutor helpright-arrow

Posted 2 months ago

Question
If 4x−4−4x2=y2−y3 4 x-4-4 x^{2}=y^{2}-y^{3} then find dydx \frac{d y}{d x} at the point (1,2) (1,2) .\newlineAnswer: dydx∣(1,2)= \left.\frac{d y}{d x}\right|_{(1,2)}=
Get tutor helpright-arrow

Posted 2 months ago

Question
If 0=4+5x3−y2 0=4+5 x^{3}-y^{2} then find dydx \frac{d y}{d x} at the point (1,−3) (1,-3) .\newlineAnswer: dydx∣(1,−3)= \left.\frac{d y}{d x}\right|_{(1,-3)}=
Get tutor helpright-arrow

Posted 2 months ago

Question
If −y3−y+2+y2=x2 -y^{3}-y+2+y^{2}=x^{2} then find dydx \frac{d y}{d x} at the point (4,−2) (4,-2) .\newlineAnswer: dydx∣(4,−2)= \left.\frac{d y}{d x}\right|_{(4,-2)}=
Get tutor helpright-arrow

Posted 2 months ago

Question
Given y=−2sin⁡(2x) y=-2 \sin (2 x) , find dydx \frac{d y}{d x} .\newlineAnswer: dydx= \frac{d y}{d x}=
Get tutor helpright-arrow

Posted 2 months ago

View all (22)