Type the correct answer in each box. Round your answers to the nearest whole number. Solve this system of equations using the elimination method. 3x − 2y = 0 2x + y = 7 The solution to the system is ( , ).

( 2,3 )

x =2 , y = 3

Step-by-step explanation:

In elimination method of solving linear equation, steps are involved to eliminate one of the variables so that value of other can be deduced.

In this method we either subtract or add one of the variable which has the same coefficient in the both of the equation, so that it can be removed from equation.

Given system of linear equation

3x − 2y = 0    (1)

2x + y = 7    (2)

Let eliminate y to find x

as we can see equation has 1 as coefficient for y but in equation 2 y has coefficient as 1.

In order to make coefficient of y same as 2, we multiply LHS and RHS of equation 2 with 2.

( 2x + y )*2= 7 *2

=>2x *2+ y*2= 7 *2

=> 4x + 2y = 14    let it be equation 3

Adding equation 1 and 3

 3x − 2y = 0  

+4x  + 2y = 14

 -2 y + 2y = 0 (y gets eliminated)

7x = 14

=> x = 14/7 = 2

Thus, x = 2

using x = 2 in 2x + y = 2

2*2 + y= 7

=> 4 + y = 7

=> y = 7 - 4 = 3

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Thus, The solution to the system is ( 2,3 ).

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

1. 523.33 cubic inches

2. 113.04 cubic inches.

3. 17.41.

4. 16.49

i think this should be your answer

hope i

-lavira : )