Question

Solve the simultaneous equations 5x + 6y = 3 2x - 3y = 12

Answer 1

Answer: x =3; y = -2

$\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ \left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\\left \{ {{x=3} \atop {y=-2}} \right.$

Step-by-step explanation:

Answer 2

Answer:

x = 3, y = -2.

Step-by-step explanation:

5x + 6y = 3

2x - 3y = 12           Multiply this by 2:

4x - 6y = 24           Now add this to the first equation:

9x = 27

x = 3.

Substitute x = 3 in the second equation:

2(3) - 3y = 12

-3y = 12 - 6 = 6

y = 6 / -3

y = -2.