SOLUTION: Given the following system of linear equation, make comment about the lines and the number of solutions this system has.
y = -3x - 12
y = 2x + 12
Question 229937: Given the following system of linear equation, make comment about the lines and the number of solutions this system has.
y = -3x - 12
y = 2x + 12 Found 2 solutions by drj, stanbon:Answer by drj(1380) (Show Source): You can put this solution on YOUR website! Given the following system of linear equation, make comment about the lines and the number of solutions this system has.
y = -3x - 12 Equation A
y = 2x + 12 Equation B
Step 1. The above lines in given in slope intercept form given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).
Step 2. The slope of Equation A is m1=-3 and the slope of Equation B is m2=2. So they are not parallel since the parallel lines have the same slope. The lines are not perpendicular since the product of their slopes is not equal to -1 since m1*m2 does not equal -1.
Step 3. The lines intersect at a point so there is one solution.
Here's a graph of the two lines
The intersection between these two lines is given below using substituion:
Solve: We'll use substitution. After moving 1*y to the right, we get: , or . Substitute that
into another equation: and simplify: So, we know that y=2.4. Since , x=-4.8.
Answer: .
Same results as before.
I hope the above steps and explanation were helpful.
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