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oksian1 [2.3K]
2 years ago
7

Write the system of equations shown on the graph, then give the solution to the system.

Mathematics
1 answer:
Andrej [43]2 years ago
4 0

Step-by-step explanation:

Let's start with solving for line L using slope-intercept form (y=mx+b)

We can see that the y-intercept is 4, and the slope is rise/run. From point (5,2) to (0,5), the rise is 2, and the run is -5 (it goes backwards 5).

Using this, we can form our equation for Line L: y = -2/5x + 4

Now let's solve for Line M.

There is something very important to notice before we jump into this. Both of these lines (Line L and M) are parallel (they never touch) and therefore will contain the same slope as each other (-2/5). The y-intercept for this equation we can see is -1, as the line touches (0,-1). Now lets form our equation;

Line M: y = -2/5+4

Solving a system of equation means to find two (or more) line's interceptions on a graph (where they meet/touch). Because both of these lines are parallel and never touch each other, there is no definite answer. Therefore our answer is No Solutions.

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2 years ago
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your recipe calls for 2 over 3 cups of sugar. you are only making 2 over 4 of the recipe. how much sugar do you need? not simpli
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The quantity of sugar required for 2/4 of the recipe is 1/3 cups

<h3>How to solve fraction?</h3>

let

  • x = quantity of sugar needed

Ratio of sugar to recipe

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2/3 ÷ 1 = x ÷ 2/4

2/3 × 1/1 = x × 4/2

2/3 = x × 2

2/3 = 2x

x = 2/3 ÷ 2

x = 2/3 × 1/2

= 2/6

x = 1/3 cups

Therefore, the quantity of sugar required for 2/4 of the recipe is 1/3 cups

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brainly.com/question/11562149

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3 years ago
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