Question

Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x + 2y = 24 6x + 2y = 30

Answer 1

b. multiply 1st equation by -2, solution (2,9).

Answer 2

Solution of the system of the equations is (2, 9)

Explanation:

System of the equations has been given as

3x + 2y = 24 --------(1)

6x + 2y = 30 --------(2)

First step to solve these equations for the solution will be "Subtraction of equation (1) from equation (2).

6x + 2y = 30

(-) 3x + 2y = 24

3x = 6 ⇒ x = 2

Now we plug in the value of x in equation (1)

3(2) + 2y = 24

6 + 2y = 24

2y = 24 - 6

y =
`(18)/(2)`

y = 9

Therefor, solution of the system of the equations is (2, 9)