Question

Solve the system of equations -0.9x 1.4y = 8 and 3.6x - 0.6y = 3

a) (2, 6)
b) (-1, 5)
c) (4, 6)
d) (3, 4)

Answer 1

To solve the system of equations -0.9x + 1.4y = 8 and 3.6x - 0.6y = 3, we can use the method of substitution. The solution is (20.67, 19).

Step-by-step explanation:

To solve the system of equations -0.9x + 1.4y = 8 and 3.6x - 0.6y = 3, we can use the method of substitution. First, solve one equation for x or y and substitute it into the other equation.

Let's solve the first equation for x:

-0.9x + 1.4y = 8 ----> -0.9x = 8 - 1.4y ----> x = (8 - 1.4y) / -0.9

Now substitute this value of x into the second equation:

3.6((8 - 1.4y) / -0.9) - 0.6y = 3

Simplify and solve for y:

-12.96 + 1.44y - 0.6y = 3 ----> -12.96 + 0.84y = 3 ----> 0.84y = 15.96 ----> y = 15.96 / 0.84 = 19

Now substitute the value of y back into the first equation to find x:

-0.9x + 1.4(19) = 8 ----> -0.9x + 26.6 = 8 ----> -0.9x = -18.6 ----> x = -18.6 / -0.9 = 20.67

Therefore, the solution to the system of equations is (20.67, 19). None of the given options match this solution.