Question

Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth. From the least to the greatest, the solutions are:

Answer 1

(-2.1, 1.1) and (0.2, -1.2)

Explanation:

In the figure attached the two functions are shown. The solution for log (−5.6x + 1.3) = −1 − x are the interception points of the two functions. From the least to the greatest, the solutions are: (-2.1, 1.1) and (0.2, -1.2)

Answer 2

From least to the greatest, the solutions are: (-2.1) to (0.2)

Explanation:

Given : Equation -
`\log (-5.6x + 1.3) = -1-x`

To Solve : The given equation ?

Solution :

Step 1 : Write the equation :

`\log (-5.6x + 1.3) = -1-x`

Step 2 : To solve the equation we plot the graph,

when we plot the graph the points where y=0 for value of x

Step 3: Points where y=0,x=-2.12 and 0.221 (shown in the attached graph)

Therefore, (x+2.12) and (x-0.221) are the solutions of the equation.

Round to nearest tenth x= -2.1 and 0.2

From least to the greatest, the solutions are: (-2.1) to (0.2)