Question

What is the solution to the system of equations? y = x – 10 2x + y = 4

Answer 1

`\left\{\begin{array}{ccc}y=x-10&(1)\\2x+y=4&(2)\end{array}\right\\\\\text{substitute (1) to (2)}\\\\2x+(x-10)=4\\(2x+x)-10=4\qquad|\text{add 10 to both sides}\\\\3x=14\qquad|\text{divide both sides by 3}\\\\x=(14)/(3)\\\\\text{put the value of x to (1)}\\\\y=(14)/(3)-10\\\\y=(14)/(3)-(30)/(3)\\\\y=-(16)/(3)\\\\Answer:\ x=(14)/(3)\ and\ y=-(16)/(3)`