SOLUTION: Solve the following system of linear equations by graphing. If there is no solution, or if there is an infinite number of solutions, so state. Check your answer. x + 2y = -4 x

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the following system of linear equations by graphing. If there is no solution, or if there is an infinite number of solutions, so state. Check your answer. x + 2y = -4 x       Log On


   

Question 362309: Solve the following system of linear equations by graphing. If there is no solution, or if there is an infinite number of solutions, so state. Check your answer.
x + 2y = -4
x – y = -1
Answer by HasanSahin(52) About Me  (Show Source):
You can put this solution on YOUR website!
Just one solution..
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 1+x+%2B+2+y+=+-4 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-1%2F2.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -4/1 = -4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -4/2 = -2.
  • Slope is -1/2 = -0.5.
  • Equation in slope-intercept form: y=-0.5*x+-2.
graph%28+500%2C+500%2C+-4-8%2C+-4%2B8%2C+-2-8%2C+-2%2B8%2C+-0.5%2Ax%2B-2+%29+

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 1+x+%2B+-1+y+=+-1 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-1%2F-1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -1/1 = -1.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -1/-1 = 1.
  • Slope is -1/-1 = 1.
  • Equation in slope-intercept form: y=1*x+1.
graph%28+500%2C+500%2C+-1-8%2C+-1%2B8%2C+1-8%2C+1%2B8%2C+1%2Ax%2B1+%29+