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KATRIN_1 [288]
4 years ago
12

Solve the system by graphing. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT.

If the system is dependent, enter DEPENDENT.) x + y = 6 x − y = 2

Mathematics
1 answer:
seraphim [82]4 years ago
6 0

Answer:

(4,2). DEPENDENT

Step-by-step explanation:

As each equation consist on two variable, both can be represented graphically on a cartesian plane. First, each expression is rewritten in explicit form:

y = 6 - x (red line) and y = x - 2 (blue line)

By the resource of graphing software, the solution is (4,2). The representation is presented below as attachment. As solution exists, both expression are linearly DEPENDENT.

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Find the slope passing through the points (-3,4) and (2,-1).
stellarik [79]
1)

Given two points: (x₁,y₁) and (x₂,y₂) the slope of the line passing through these points would be: 
m=(y₂-y₁)/(x₂-x₁)

Data:
We have two points, (-3,4) and (2,-1), therefore, the slope of the line passing through these points will be: 

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2)
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y=mx+b
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b=y-intercept

Therefore:
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3 years ago
PLEASE HELP ASAP!:<br><br> Solve for a and b<br> 6a-b=-5<br> 4a-3b = -8
klemol [59]

Answer:

a = -1/2

b = 2

Step-by-step explanation:

Step 1: Rewrite 1st equation

-b = -5 - 6a

b = 5 + 6a

Step 2: Substitution

4a - 3(5 + 6a) = -8

Step 3: Solve

4a - 15 - 18a = -8

-14a - 15 = -8

-14a = 7

a = -1/2

Step 4: Plug in <em>a</em> to find <em>b</em>

6(-1/2) - b = -5

-3 - b = -5

-b = -2

b = 2

7 0
3 years ago
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