y=2x -3 and 2y+x = 4 | Simultaneous Equations | SciPiPupil

Question: Solve the pair of the following simultaneous equation: $y=2x -3$and$2y+x=4$.

Solution:

Given,

Equation (i) is $y = 2x -3$

Equation (ii) is $2y+x=4$

Put value or y from equation (i) in equation (ii), we get,

$or,  2(2x-3) +x = 4$

$or, 4x - 6 + x = 4$

$or, 5x = 4+6$

$or, 5x = 10$

$or, x = \dfrac{10}{5}$

$\therefore x = 2$

Now,

Put value of x in equation (i), we get,

$y = 2×2 - 3$

$or, y = 4-3$

$\therefore y = 1$

Hence, (x,y) = (2,1).

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