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2 years ago

How to solve x=2y and 6y-3x=18 by using subsitution

Mathematics

1 answer:

BARSIC [14]2 years ago

3 0

Answer:

This system of equations has no solutions

Step-by-step explanation:

in the linear equations, if the variable is disappeared, and

The two sides of the equation are equal, then the equation has infinitely many solutions

The two sides of the equation are not equal, then the equation has no solutions

Let us solve the question

∵ x = 2y ⇒ (1)

∵ 6y - 3x = 18 ⇒ (2)

→ Substitute x in equation (2) by the value of x in equation (1)

∵ 6y - 3(2y) = 18

∴ 6y - 6y = 18

∴ 0 = 18

→ 0 can not equal 18

∴ Left hand side ≠ Right hand side

→ From the 2nd note above

∴ This system of equations has no solutions

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castortr0y [4]

See the attached figure to better understand the problem
let
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using a graph tool------> to resolve the second order equation
see the attached figure

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