A system of equations is given below. -3x + 6 and y = 6 - 3x

Mathematics

2 answers:

Nataly_w [17]3 years ago

7 0

Answer:

Infinite solutions Answer explained below

Step-by-step explanation:

Let us see the various conditions for intersections of two lines in simplest way.

1. Same slope and same y intercept : Infinite solutions

2. Same slope and different y intercepts : No solution

3. Different slope and same y intercept : unique solution

4. Different slope and different y intercept : Unique solution

Here slope means the tangent of the angle line makes with the positive x axis and y intercept is the y coordinate at which the line intersect the y axis.

In our equations , we our slopes and y intercepts as

y=-3x+6

slope = -3 and y intercept = 6

y=6-3x

slope = -3 and y intercept = 6

Hence same slope and same y intercept , thus have infinite solutions

pochemuha3 years ago

3 0

Answer:

They have different slopes and different y-intercepts, so they have no solution

Step-by-step explanation:

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What is the slope-intercept equation of the line below?

Sedbober [7]

Answer:

$Consider points (3,5) and (2,-5) from the graph \\ slope = \frac{( - 5 - 5)}{(2 - 3)} \\ m = 10 \\ in \: relation \: of \: (3,5) \: with \: y = mx + c \\ 5 = (10)(3) + c \\ 5 = 30 + c \\ c = - 25 \\ y = 10x - 25 \\ \frac{y}{5} = 2x - 5$