Question

Arrange the equations in increasing order of the value of their solutions.

Answer 1

See the explanation

Explanation:

The complete question is attached below. In order to solve this problem, we'll use a graphing tool. First of all, we'll say that the LHS is a linear function and the RHS is another linear function, so for each case, we'll have:

$f(x)=g(x)$

For each graph, $f(x)$ will be drawn in red while $g(x)$ will be drawn in blue.

Case 1:

$f(x)=\frac{1}{4}x+\frac{5}{2}x-2 \\ \\ g(x)=4-\frac{1}{4}x$

So by equating both equations:

$\frac{1}{4}x+\frac{5}{2}x-2=4-\frac{1}{4}x$

By using graphing tool we get a point of intersection at which the x-value is the solution to our equation. So:

Solution:

$\boxed{x=2}$

See First Figure below.

Case 2:

$f(x)=7.9x+x+4 \\ \\ g(x)=-1.1x-16$

Applying a similar method as in case 1.

Solution:

$\boxed{x=-5.8}$

See Second Figure below.

Case 3:

$f(x)=3.2x+5.7 \\ \\ g(x)=-2.5x$

Applying a similar method as in case 1.

Solution:

$\boxed{x=-1}$

See Third Figure below.

Case 4:

$f(x)=10.1x-1.6x+44 \\ \\ g(x)=-7$

Applying a similar method as in case 1.

Solution:

$\boxed{x=-6}$

See Fourth Figure below.

Learn more:

Methods for solving system of equations: brainly.com/question/10185505

#LearnWithBrainly

Answer 2

Answer:

Answer: 1. 10.1x - 1.6x + 44 = -7

             2. 7.9x + x + 4 = 1.1x - 16

           3.  3.2x + 5.7 = -2.5x

           4. 1/4x + 5/2x - 2 = 4 -1/4x

in order

Step-by-step explanation:

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