Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve.\newlinex+3y=11-x + 3y = -11\newlinex=10x = -10\newline(_____, _____)

Full solution

Q. Solve.\newlinex+3y=11-x + 3y = -11\newlinex=10x = -10\newline(_____, _____)
  1. Substitute x=10x = -10: Substitute x=10x = -10 into the first equation x+3y=11–x + 3y = –11.\newlineCalculation: (10)+3y=11–(-10) + 3y = –11\newlineSimplification: 10+3y=1110 + 3y = –11
  2. Isolate variable y: Isolate the variable y by subtracting 1010 from both sides of the equation.\newlineCalculation: 10+3y10=111010 + 3y - 10 = -11 - 10\newlineSimplification: 3y=213y = -21
  3. Divide by 33: Divide both sides of the equation by 33 to solve for yy.\newlineCalculation: 3y3=213\frac{3y}{3} = \frac{-21}{3}\newlineSimplification: y=7y = -7
  4. Write solution as ordered pair: We found:\newlinex=10x = -10\newliney=7y = -7\newlineNow we can write the solution as an ordered pair.\newlineThe solution is (10,7)(-10, -7).

More problems from Solve a system of equations using any method