Question

Y=5x-2. -15x-3y=3. How many solutions does this linear system have?

Answer 1

`\left\{\begin{array}{ccc}y=5x-2&|subtract\ 5x\ from\ both\ sides\\-15x-3y=3&|divide\ both\ sides\ by\ (-3)\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-5x+y=-2\\5x+y=-1\end{array}\right}\ |add\ both\ sides\\.\ \ \ \ \ \ 2y=-3\\\\Answer:One\ solution\ /x=0.1;\ y=-1.5/`