Question 1195469: Solve the following system of equations:
y=2x-5
y=-x+4
Your answer should be in the form of (x,y) coordinates.
Your answer should be in the format (x,y)
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
Solve the following system of equations:
y=2x-5
y=-x+4
Your answer should be in the form of (x,y) coordinates.
Your answer should be in the format (x,y)
~~~~~~~~~~~~~~~
Since left sides are identical, right sides should be equal
2x-5 = -x+4.
Collect the terms with x on the left side; the constant terms on the right side
2x + x = 5 + 4
3x = 9
x = 9/3 = 3.
Thus you just found value of x: it is 3.
To find y, substitute x= 3 into the second equation
y = -x+4 = -3+4 = 1.
ANSWER. The solution is (x,y) = (3,1) in the requested form.
Solved.
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