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1 year ago

PLEASE HELP ME!!!!!!!!!

Mathematics

1 answer:

Makovka662 [10]1 year ago

6 0

Answer:

(a) (5, -3)

Step-by-step explanation:

The "substitution method" for solving a system of equations requires that you write an expression that can be substituted for a variable in one or more of the other equations in the system.

<h3>Expression to substitute</h3>

The given equations are ...

y = x -8
2x +3y = 1

We notice the first equation gives an expression for y. This is exactly what we want to substitute for y in the second equation.

<h3>Substitution</h3>

When the expression (x-8) is substituted for y in the second equation, you get ...

2x +3(x -8) = 1

This simplifies to ...

5x -24 = 1

<h3>Solution</h3>

This 2-step equation can now be solved in the usual way:

5x = 25 . . . . . . add 24 to isolate the variable term

x = 25/5 = 5 . . . . . divide by the coefficient of x

Note that we now know what the correct answer choice is.

Using the expression for y, we find ...

y = x -8 = 5 -8 = -3

The solution is (x, y) = (5, -3).

The attached graph confirms this solution.

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The answer is: The first triangle. The reasons are shown below:

1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:

Tan(α)^-1= opposite leg/adjacent leg

Opposite leg=5
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Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:

Tan(α)^-1= 5√3/5
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