Question

Solve
the
equation
2x+3y= 18
3x - 3y = 8​

Answer 1

Answer:

$x = \dfrac{26}{5}$

$y = \dfrac{38}{15}$

Step-by-step explanation:

The given equations-

$2x + 3y = 18$     -------------------- 1

$3x - 3y = 8$      --------------------- 2

Adding \ both \ equations-

$(2x + 3y) + (3x - 3y) = 18 + 8$

$5x = 26$

$x = \dfrac{26}{5}$

Put the value of x in equation 2-

$3x - 3y = 8$

$3(\dfrac{26}{5}) -3y = 8$

$\dfrac{78}{5} - 3y = 8$

$-3y = 8 - \dfrac{78}{5}$

$-3y = \dfrac{8 \times5 - 78}{5}$

$-3y = \dfrac{40-78}{5}$

$-3y = -\dfrac{38}{5}$

$y = \dfrac{38}{15}$