Answer:
The graph of a linear equation is a straight line. The "solution" to a system of two linear equations is the point where the two lines cross. If the two lines are parallel, they never cross; hence parallel lines have no solution. Two lines are parallel if they have the same slope (the m value in y = mx+b). One of your equations is y = -2x + (you left the y-intercept out). The slope is -2. So any line with a slope of m = -2 will be parallel to this line and will not cross it. The second line also needs a different value of b, the y-intercept. Otherwise it is the same line and every point is a solution. So if your equation is:
y = -2x + 1
Then any equation of the form y = -2x + b, b≠1 will create a system with no solution. Hence the values of m and b are m = -2, b ≠ 1.
Answer:
Replace all occurrences of y with 2x−1 in each equation.
0=0
y=2x−1
Remove any equations from the system that are always true.
y=2x−1
Step-by-step explanation:
Answer:
3861.75
Step-by-step explanation:
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Answer:
4(x + 3)(2x − 7)
Step-by-step explanation:
4(x + 3)(2x − 7) = 4(2x² − 7x + 6x − 21)
= 4(2x² − x − 21)
= 8x² − 4x − 84
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:)
Answer:
x=1
Step-by-step explanation:
Anytime there is a vertical line, the y value becomes infinite as the line goes on forever. The only restriction on the line is on the x value of your coordinate. The same goes for a horizontal line, only the x value would become infinite and the y value would be constant.
Vertical Line: (x,∞)
Horizontal Line: (∞,y)
