SOLUTION: solve by graphing x-y=2 x+y=6

Question 34615This question is from textbook
: solve by graphing
x-y=2
x+y=6 This question is from textbook

Answer by lyra(94) (Show Source): You can put this solution on YOUR website!

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. 2/1 = 2.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 2/-1 = -2.
Slope is -1/-1 = 1.
Equation in slope-intercept form: y=1*x+-2.

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. 6/1 = 6.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/1 = 6.
Slope is -1/1 = -1.
Equation in slope-intercept form: y=-1*x+6.

So we can see that the point where the two lines defined by the linear equations in the problem intesect is (4,2)
We can check our answer from the above by:

Solved by pluggable solver: Linear System solver (using determinant)

Solve:

Any system of equations:

has solution

(x=4, y=2}

We again get x=4 and y=2 so we know that our answer is correct.
Hope this helps,
lyra
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