# Tagged Questions

This tag indicates that several equations (of some type) must all hold. Do not use alone! Use in conjunction with (linear-algebra), (polynomials), (pde), (differential-equations), (inequalities) or another tag that describes the nature of the equations being considered.

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### How to solve simultaneous inequalities (reasked)? [duplicate]

I am doing multivariable calculus, and specifically double integrals. I am facing difficulties finding the domain of the integal, however i am given the following equations: $$1≤2x+y≤2$$ $$0≤x−2y≤1$$ ...
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### Question regarding systems of equations

If I have the following system of equations: $2+x^2-y^2=0$ $x^2-y^2-2=0$ And if I substitute $y$ by a function of $x$ and vice versa I get: $2+x^2-x^2+2=0$ $y^2-y^2-4=0$ I therefore get: ...
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### Solve $Ax=b$ for $A$ in MATLAB

I have this linear system $$\begin{bmatrix} cY(t-1)\\ acY(t-1) - acY(t-2)\end{bmatrix} = T \begin{bmatrix} Y(t-2)\\ Y(t-1)\end{bmatrix}$$ where both $c$ and $a$ are known constants, and I need to ...
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### Solve the simultaneous equations for real numbers $x$ and $y$: $\sqrt{x+a} + \sqrt{x-a} = 3$ and $x+y=5$

Question: Let $a$ be a real number. Solve the simultaneous equations for real numbers $x$ and $y$: $$\sqrt{x+a} + \sqrt{x-a} = 3$$ $$x+y=5$$ My attempt: Consider the ...