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Paha777 [63]
3 years ago
9

Find the ordered pair that makes both the equations below true

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0

Answer:

(3, 1)

Step-by-step explanation:

(a) Algebraic solution

(1)  y = -⅔x + 3

(2) y =   2x  - 5

Set Equation (1) equal to Equation (2)

-⅔x + 3 = 2x - 5

Multiply each side by 3

-2x + 9 = 6x - 15

Add 15 to each side

-2x + 24 = 6x

Add 2x to each side

24 = 8x

Divide each side by 3

(3) x = 3

Substitute (3) into (2)

y = 2×3 - 5 = 6 - 5 = 1

The ordered pair that makes both equations true is (3, 1).

(b) Graphical solution

In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).

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<u>Step-by-step explanation:</u>

Step 1:

Given perimeter of the rectangle = 92 ft. Let the width be x, then the length of the rectangle = 2x + 7. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.

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Hello There!

145 is 23.39% of 620

<u><em>HOW TO SOLVE</em></u>

<u><em></em></u>

<u><em>Equation: Y = P% * X</em></u>

<u><em>We need to solve our equation for "P"</em></u>

<u><em>P% = Y/X</em></u>

<u><em>P% = 145/620</em></u>

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<u><em></em></u>

<u><em></em></u>

<u><em>Convert decimal to percent:</em></u>

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