# Alignment of multiple equations with cases

I have to align multiple equations with cases. I can align the left bracket, but i can't align the cases on the right between different the different equations. I maneged to align only the cases of a single equation. I tried using the aligned and array environments like:

\begin{aligned} \alpha^{S / C} & =\left\{\begin{array}{lr} 0 & \lambda_c \leq-1.95 \\ 0.3+0.4\left(\lambda_c+1.2\right) & -1.95<\lambda_c<0.55 \\ 1 & \lambda_c \geq 0.55 \end{array}\right. \\ \mu_1^{S / C} & =\left\{\begin{array}{lr} -0.6 & \lambda_c \leq-1.1 \\ -0.6-0.318\left(\lambda_c+1.1\right) & -1.1<\lambda_c<0 \\ -0.95 & \lambda_c \geq 0 \end{array}\right. \\ \sigma_1^{S / C} & =\left\{\begin{array}{lr} 0.1 & \lambda_c \leq-1.3 \\ 0.1+0.2\left(\lambda_c+1.3\right) & -1.3<\lambda_c<-0.3 \\ 0.3 & \lambda_c \geq-0.3 \end{array}\right. \\ \mu_2^{S / C} & =\left\{\begin{array}{lr} -1.2 & \lambda_c \leq-0.7 \\ -1.2-1.333\left(\lambda_c+0.7\right) & -0.7<\lambda_c<-0.1 \\ -2.0 & \lambda_c \geq-0.1 \\ \end{array}\right. \\ \sigma_2^{S / C} & =\left\{\begin{array}{lr} 0.5 &\lambda_c \leq-0.5 \\ 0.5-\left(\lambda_c+0.5\right) & -0.5<\lambda_c<-0.3\\ 0.3 & \lambda_c \geq-0.3 \end{array}\right. \end{aligned}


or using the aligned and cases environments like:

\begin{aligned} \alpha^{S / C} & = \begin{cases} 0 & \lambda_c \leq-1.95 \\ 0.3+0.4\left(\lambda_c+1.2\right) & -1.95<\lambda_c<0.55 \\ 1 & \lambda_c \geq 0.55 \\ \end{cases}\\ \mu_1^{S / C} & =\begin{cases} -0.6 & \lambda_c \leq-1.1 \\ -0.6-0.318\left(\lambda_c+1.1\right) & -1.1<\lambda_c<0 \\ -0.95 & \lambda_c \geq 0 \end{cases}\\ \sigma_1^{S / C} & =\begin{cases} 0.1 & \lambda_c \leq-1.3 \\ 0.1+0.2\left(\lambda_c+1.3\right) & -1.3<\lambda_c<-0.3 \\ 0.3 & \lambda_c \geq-0.3 \end{cases}\\ \mu_2^{S / C} & =\begin{cases} -1.2 & \lambda_c \leq-0.7 \\ -1.2-1.333\left(\lambda_c+0.7\right) & -0.7<\lambda_c<-0.1 \\ -2.0 & \lambda_c \geq-0.1 \\ \end{cases}\\ \sigma_2^{S / C} & =\begin{cases} 0.5 &\lambda_c \leq-0.5 \\ 0.5-\left(\lambda_c+0.5\right) & -0.5<\lambda_c<-0.3\\ 0.3 & \lambda_c \geq-0.3 \end{cases} \end{aligned}


I hope it's clear enough, it's the first time i use this forum. The image shows what I want to obtain.

As starting point:

I consider nly first two cases in your MWE (Minimal Working Example), other you can rewrite on showed way yourself. By use of array environments inside of split˙:

\documentclass{article}
\usepackage{amsmath}

\begin{document}
$$\begin{split} \alpha^{S/C} & = \left\{% \begin{array}{l @{\qquad} rl} 0 & \lambda_c & \leq - 1.95 \\ 0.3+0.4\left(\lambda_c+1.2\right) & -1.95<\lambda_c & <0.55 \\ 1 & \lambda_c & \geq 0.55 \\ \end{array}\right. \\[1ex] \mu_1^{S / C} & = \left\{% \begin{array}{l @{\qquad} rl} -0.6 & \lambda_c & \leq-1.1 \\ -0.6-0.318\left(\lambda_c+1.1\right) & -1.1 & <\lambda_c<0 \\ -0.95 & \lambda_c & \geq 0 \end{array}\right. \\[1ex] \end{split}$$
\end{document}


You can define a suitable environment. Here I define cases+ that takes as argument the width of the two columns it defines. Some visual formatting is needed (it might be made automatic, but…).

\documentclass{article}
\usepackage{amsmath}
\usepackage{array}

\newenvironment{cases+}[1]{%
\left\{
\renewcommand{\arraystretch}{1.2}% like cases does
\begin{array}{@{}w{l}{#1}@{}w{r}{#1}@{}}
}{\end{array}\right.\kern-\nulldelimiterspace}
\newlength{\mytemplen}

\begin{document}

\setlength{\mytemplen}{10em}% adjust to suit \begin{aligned} \alpha^{S / C} &= \begin{cases+}{\mytemplen} 0 & \lambda_c \leq-1.95 \\ 0.3+0.4(\lambda_c+1.2) & -1.95<\lambda_c<0.55 \\ 1 & \lambda_c \geq 0.55 \end{cases+} \\ \mu_1^{S / C} &= \begin{cases+}{\mytemplen} -0.6 & \lambda_c \leq-1.1 \\ -0.6-0.318(\lambda_c+1.1) & -1.1<\lambda_c<0 \\ -0.95 & \lambda_c \geq 0 \end{cases+} \\ \sigma_1^{S / C} &= \begin{cases+}{\mytemplen} 0.1 & \lambda_c \leq-1.3 \\ 0.1+0.2(\lambda_c+1.3) & -1.3<\lambda_c<-0.3 \\ 0.3 & \lambda_c \geq-0.3 \end{cases+} \\ \mu_2^{S / C} &= \begin{cases+}{\mytemplen} -1.2 & \lambda_c \leq-0.7 \\ -1.2-1.333(\lambda_c+0.7) & -0.7<\lambda_c<-0.1 \\ -2.0 & \lambda_c \geq-0.1 \\ \end{cases+} \\ \sigma_2^{S / C} &= \begin{cases+}{\mytemplen} 0.5 &\lambda_c \leq-0.5 \\ 0.5-(\lambda_c+0.5) & -0.5<\lambda_c<-0.3\\ 0.3 & \lambda_c \geq-0.3 \end{cases+} \end{aligned}

\end{document}


Note. I got rid of all the unnecessary \left and \right` bits. Don't use them indiscriminately.