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11 votes
11 votes
Whats the soulution to the stimultaneous equation 2x-3y=-1 and y=2x+3

User Sunil Rajput
by
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1 Answer

12 votes
12 votes
Answer: x = -2, y = -1

Explanation:

Lets solve this by Substitution;

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

From Eq. 2 we get the value of ‘y’ in terms of ‘x’

Substitute value of ‘y’ from Eq. 2 in 1 :-

2x - 3y = -1
2x - 3(2x + 3) = -1
2x - 6x - 9 = -1
-4x - 9 = -1
-4x = -1 + 9 = 8
=> x = 8/-4 = -2

Therefore, x = -2

Substitute value of ‘x’ in Eq. 2 :-

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

Therefore, y = -1
User Drew Reese
by
2.8k points
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