The sum of two numbers is 40. The larger number (x) is 1.5 times the smaller number (y). Which system of equations models this situation? X + y = 40 x + 1.5y = 0 B) x + y = 40 1.5x + y = 0 X + y = 40 X- 1.5y = 0 D) X + y = 40 1.5x - y = 0

explanation:

step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.