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)
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4x + 4y = 4
4y = -4x + 4
first equation
x + y = 1
second equation
graph:
Solved by
pluggable
solver:
DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation
describes a sloping line. For any
equation ax+by+c = 0, slope is
.
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:
Solved by
pluggable
solver:
DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation
describes a sloping line. For any
equation ax+by+c = 0, slope is
.
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.
The point where they meet is your answer, so you have infinite amount of answers.