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 ).

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

im with everythinglos so yeahhhhh

step-by-step explanation: