Question

-6x+6.4y=112 and 6x+2.1y=-27
solve for x and y in an ordered pair

Answer 1

Answer: (-8, 10)

Explanation:

To solve for x and y in the given system of equations:

-6x + 6.4y = 112 --- Equation (1)

6x + 2.1y = -27 --- Equation (2)

We can use the elimination method to eliminate one of the variables. Adding the two equations eliminates x:

-6x + 6.4y = 112

+6x + 2.1y = -27

8.5y = 85

Now, we can solve for y:

y = 85 / 8.5

y = 10

Substituting this value of y in Equation (1), we get:

-6x + 6.4(10) = 112

-6x + 64 = 112

-6x = 112 - 64

-6x = 48

x = -8

Therefore, the solution for the given system of equations is (x, y) = (-8, 10).

Answer 2

To solve for x and y in the system of equations:

-6x + 6.4y = 112 (Equation 1)
6x + 2.1y = -27 (Equation 2)

We can use the elimination method by adding the two equations to eliminate the x variable:

-6x + 6.4y = 112
+6x + 2.1y = -27

8.5y = 85

Divide both sides by 8.5 to solve for y:

y = 10

Now, substitute y = 10 into either of the original equations to solve for x. Let's use Equation 1:

-6x + 6.4y = 112

-6x + 6.4(10) = 112

-6x + 64 = 112

-6x = 48

x = -8

Therefore, the solution to the system of equations is (x, y) = (-8, 10).