SOLUTION: How do I Solve the system by graphing. 4x + 4y = 4 x + y = 1

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Question 37609: How do I Solve the system by graphing. 4x + 4y = 4
x + y = 1

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
4x + 4y = 4
4y = -4x + 4
y+=+-x+%2B+1 first equation
x + y = 1
y+=+-x+%2B+1 second equation
graph:
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 4+x+%2B+4+y+=+4 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-4%2F4.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 4/4 = 1.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 4/4 = 1.
  • Slope is -4/4 = -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+

graph:
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%2F1.
  • 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+

The point where they meet is your answer, so you have infinite amount of answers.