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Chapter 1: Q.20. (page 29)

In Problems 17–36, solve each equation algebraically. Verify your solution using a graphing utility.. $5 - (2 x - 1) = 10 - x$

Short Answer

Expert verified

The value of $x = - 4$

Step by step solution

Step 1. Given equation

$5 - (2 x - 1) = 10 - x$

Step 2. Solve the given equation

$5 - (2 x - 1) = 10 - x \Rightarrow 5 - 2 x + 1 = 10 - x \Rightarrow - 2 x + x = 10 - 6 \Rightarrow - x = 4 \Rightarrow x = - 4$

Step 3. graph and x-coordinate of the intersection point.

x-coordinate of the intersection point is

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Most popular questions from this chapter

The equation $2 x - y = C$ defines a family of lines, one line for each value of $C$ . On one set of coordinate axes, graph the members of the family when $C = - 4, C = 0$ and $C = 2$ . Can you draw a conclusion from the graph about each member of the family?

If $- 3$ and 5 are the coordinates of two points on the real number line, the distance between these points is _________.

Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths 11, 60, and 61 is a right triangle.

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_{1} = (a, b); P_{2} = (0, 0)$

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

$(2, 3); (4, 0)$

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In Problems 17–36, solve each equation algebraically. Verify your solution using a graphing utility..5-2x-1=10-x

Short Answer

Step by step solution

Step 1. Given equation

Step 2. Solve the given equation

Step 3. graph and x-coordinate of the intersection point.

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Most popular questions from this chapter

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In Problems 17–36, solve each equation algebraically. Verify your solution using a graphing utility.. $5 - (2 x - 1) = 10 - x$