Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Solve the simultaneous equations
y = 4x + 1
y = 2x^2+ 7x - 1

Sagot :

Answer:

[tex]Given,\\y = 4x+1......(1)\\y = 2x^2+7x-1.............(2)\\Equating~equation (1)~and~(2),\\4x+1 = 2x^{2} +7x-1\\or, 2x^{2}+7x-4x-1-1=0\\or, 2x^{2} + 3x-2=0\\or, 2x^{2} +4x-x-2=0\\or, 2x(x+2)-1(x+2)=0\\or, (x+2)(2x-1)=0\\i.e. x=-2 ~or~ \frac{1}{2} \\When~x=2,~equation(1)~becomes ~y=4(-2) +1=-7\\When~x=-\frac{1}{2},~equation (1)~becomes~y=4(\frac{1}{2}) +1 = 2+1=3[/tex]

So, the required values of x are -2 and 1/2 and that of y are -7 and 3.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.