TOPIC: SIMULTANEOUS LINEAR AND QUADRATIC EQUATION
The Linear and Quadratic equations are the major topic of Linear Algebra. This topic is very helpful for the engineering students on presentation services because this is applied mathematics for the engineers.
The first problem has no real solution. I'll show you how to solve the second one.
2. xy + y2 = 3 and 2x + y = 1
You can solve the linear equation for y and substitute that into the quadratic equation...
y = 1-2x, so...
x(1-2x) + (1-2x)2 = 3
x-2x2+1-4x+4x2 = 3
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When solving the above remember: Divide each term by 2 to give a coefficient of y2 of 1. We now need to solve this quadratic equation for y: factorising seems to ...