Question

Solve the given system of equations.
2x+8y=5
24x-4y=-15

Answer 1

`\left\{\begin{array}{ccc}2x+8y=5\\24x-4y=-15&|\cdot2\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+8y=5\\48x-8y=-30\end{array}\right}\ \ \ \ |\text{add both sides of the equations}\\.\qquad50x=-25\ \ \ \ |:50\\.\qquad\ \boxed{x=-0.5}\\\\\text{substitute the value of x to the first equation}\\\\2(-0.5)+8y=5\\-1+8y=5\ \ \ \ |+1\\8y=6\ \ \ \ |:8\\\boxed{y=0.75}\\\\Answer:\ x=-0.5,\ y=0.75`