Question

Two linear equations are shown.
What is the solution to the system of equation?
(7, 4)
(7, 13/3)
(8, 14/3)
(9,7)

Answer 1

Let (1/3)x + 2 = (4/3)x-5

-> x + 21 = 4x

-> 3x = 21

->x = 7

So y = 7/3+2 = 13/3

Answer is (7, 13/3)

Answer 2

The solution of the given system of equations is; B: (7, 13/3)

How to simplify simultaneous equations?

We are given two equations as;

y = ¹/₃x + 2

y = ⁴/₃x - 5

Thus, we will equate both equations to get;

¹/₃x + 2 = ⁴/₃x - 5

Multiply through by 3 to get;

x + 6 = 4x - 15

3x = 21

x = 21/3

x = 7

Thus;

y = ¹/₃(7) + 2

y = 13/3

Solution is (7, 13/3)

Read more about Simultaneous equations at; https://brainly.com/question/16863577

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