Linear combination
3x+2y=12 [2] y=2x-1

The solution to given equations by linear combination is (2, 3)

Given equations are:

3x + 2y = 12 eqn 1

y = 2x - 1

2x - y = 1 eqn 2

Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated.

Addition is used when the two equations have terms that are exact opposites, and subtraction is used when the two equations have terms that are the same.

Let us solve eqn 1 and eqn 2 to find values of "x" and "y"

Multiply eqn 2 by 2

4x - 2y = 2 --- eqn 3

Add eqn 1 and eqn 3

3x + 2y = 12

4x - 2y = 2

(+)

7x = 14

Substitute x = 2 in eqn 1

3x + 2y = 12

3(2) + 2y = 12

6 + 2y = 12

2y = 6

Thus the solution to given equations is (2, 3)

explanation:

step-by-step explanation:

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.