The Lakers played the Bulls. The Lakers scored 70 points in the game. In the first quarter the bulls scored 12 points. In the second quarter the Bulls scored twice as many as they did in the first quarter. In the third quarter they scored 1/3 as many points as they did in the second quarter. How many points did they need to score in the fourth quarter to win the game?

38 points

Step-by-step explanation:

12*2=24*1/3=8+24=32

70-32=38

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.