Solve the simultanious equations 2x+3y=13 4x-y=-2

1 answer:

3 0

Answer: x = 1/2, y = 4

Step-by-Step Explanation:

Lets solve it using Substitution Method :-

=> 2x + 3y = 13 (Eq. 1)
=> 4x - y = - 2 (Eq. 2)

From Eq. 2 :-

=> 4x - y = - 2
= - y = - 2 - 4x
=> y = 4x + 2 (Eq. 3)

Substitute value of ‘y’ in Eq. 1 :-

=> 2x + 3y = 13
= 2x + 3(4x + 2) = 13
= 2x + 12x + 6 = 13
= 14x = 13 - 6 = 7
=> x = 7/14 = 1/2

Substitute value of ‘x’ in Eq. 3 :-

=> y = 4x + 2
= y = 4(1/2) + 2
= y = 4/2 + 2
=> y = 2 + 2 = 4

Therefore; x = 1/2, y = 4

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