Consider the system of linear equations. 2y = x + 10 3y = 3x + 15
1 answer:
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Answer:
Step-by-step explanation:
- Slope intercept form has a general formula of
- m represents the slope of the line
- b represents the value of the lines y-intercept
- the equation must be rearranged into the general formula by isolating for 'y'
- to remove the x from the left side of the equation the opposite operation must be done to both sides
- the negative and positive x cancel out on the left side, leaving us with the equation with y by itself
- now you can rearrange to put the equation into
Final Answer:
Answer:
40
Step-by-step explanation:
Two ways we can solve this problem:
1. Graphically
2. Mathematically
Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.
Let's break the problem down.
First, we are given a graph which contains a slope.
To find slope, we use the technique -> rise/run
Picking 2 obvious points from the graph, we can see
1st point -> (10, 20)
2nd point -> (40, 80)
Now, let's find the slope
Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar
We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y
y = 2x -> 80 = 2x
Solving for x, divide both sides by 2
40 = x
We need 40 cups of sugar.