Solve this system of equations by graphing y=5/3x+3 y=1/3x-3

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

4 0

The solution to the system of equation is x = 9 /2 and y = - 3 / 2

<h3>Simultaneous equation</h3>

y = 5 / 3 x + 3

y = 1 / 3 x - 3

Therefore, let subtract equation(i) from equation (ii) to eliminate y

5 / 3 x - 1 / 3 x = 3 + 3

5x - x / 3 = 6

4x / 3 = 6

cross multiply

18 = 4x

x = 18 / 4

x = 9 / 2

Therefore,

y = 1 / 3(9 / 2) - 3

y = 9 / 6 - 3

y = 9 - 18 / 6

y = - 9 / 6

y = - 3 / 2

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