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xeze [42]
3 years ago
8

Consider the following system of equations:

Mathematics
2 answers:
Komok [63]3 years ago
4 0
Y = -x + 2
y = 3x + 1

  -x + 2 = 3x + 1
+ x         + x
          2 = 4x + 1
        - 1         - 1
          1 = 4x
          4     4
         ¹/₄ = x

y = 3x + 1
y = 3(¹/₄) + 1
y = ³/₄ + 1
y = 1³/₄
(x, y) = (¹/₄, 1³/₄)

The answer is A.
Paladinen [302]3 years ago
4 0

Answer:    

The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.

Step-by-step explanation:

The first equation is given to be :

y = -x + 2

x       0         2

y       2         0

The second equation is :

y = 3x + 1

x       0        -1/3

y       1         0

Now, The graphs of both the equation are attached below :

So, By seeing the graph, We can observe :

  • Line y = −x + 2 intersects line y = 3x + 1.
  • Lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
  • Lines y = −x + 2 and y = 3x + 1 intersect the y-axis

But the description that best describes the solution to the system of equations is : Line y = −x + 2 intersects line y = 3x + 1.

Hence, The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.

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