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.
The easy thing to do is eliminate x by subtraction
x + 7y = 24
- x - 9y = -24
-------------------
16y = 48
now solve for y and then substitute the value into either original equation to find x
Answer:
x = 3.4
Step-by-step explanation:
Given the graphs of 2 functions, then the solutions to both are at their points of intersection, that is
where f(x) = g(x)
There are 3 possible points of intersection to f(x) = g(x)
The one on the list , however, is at x = 3.4
The length of the curve is
