Which point is an exact solution to the system y = -6(0.75)x and y = 4(x - 1)?

Solution:

Given, the system of equations are

y = -6(0.75)x

y = 4(x - 1)

We have to find the exact solution to the system of equations.

y = -4.5x ------- (1)

y = 4x - 4 ------ (2)

Comparing (1) and (2)

-4.5x = 4x - 4

4x + 4.5x = 4

8.5x = 4

x = 4/8.5

x = 0.47

Put the value of x in (1)

y = -4.5(0.47)

y = 2.115

Therefore, the solution is (0.47, 2.115)

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Which point is an exact solution to the system y = -6(0.75)x and y = 4(x - 1)?

Summary:

The exact solution to the system y = -6(0.75)x and y = 4(x - 1) is (0.47, 2.115)