We transpose 2x and 9 to the other side so we could get the value of y being: y = - 2x - 9
Now that we have the value of y we can substitute it to the first equation 6x - 3y + 10 = 0 6x - 3 (-2x - 9) + 10 = 0 Simplifying the inside of the parentheses we would have 6x - (3)(-2x) - (3)(-9) + 10 =0 6x + 6x + 27 + 10 = 0
Combining similar terms we would get 12x + 37 = 0 We transpose 37 to the other side for easier simplification 12x = - 37 We divide both sides by 12 to get the value of x 12x/12 = - 37/12 Since 12/12 is equal to 1 our value of x would be x = - 37/12 Or simply x = - 3.0833
Now that we know the value of x we can use it to obtain the value of y y = - 2x - 9 y = - 2(-37/12) - 9 y = 37/6 - 9 y = - 17/6 Or in decimal y = - 2.8333
Final values of x and y would be x = - 3.0833 y = - 2.8333
