Answer:
A) 5
Step-by-step explanation:
The coefficients of the second equation are 1/3 of those of the first equation. If the constant of the second equation is also 1/3 of the constant of the first equation, then the equations are <em>dependent</em>, and will have an infinite number of solutions.
The constant must be something other than 1/3·15 = 5 to make the equations <em>inconsistent</em>, having no solutions.
Answer:
Sentences 2 and 3
Step-by-step explanation
Statistical is an overall count how many someone has
1. A
Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an "inconsistent" system of equations, and it has no solution.
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2. C
That's right. If a system of equations has a solution, then their graphs intersect, and the point where they intersect is the solution because it's the point that satisfies each equation in the system.
Straight-line graphs with the same slope are parallel lines, and they never intersect, which is another way of saying they have no solution.
Slope intercept form: y = 3/4 x - 7
Point slope form: y + 7 = 3/4 (x+0)
