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podryga [215]
2 years ago
9

What is the value of x + y(3 − x) when x = −5 and y = 3?

Mathematics
2 answers:
grandymaker [24]2 years ago
6 0

Answer:

19

Step-by-step explanation:

x + y(3 − x)

Let x = -5 and y = 3

-5 +3(3 - -5)

Subtracting a negative is like adding

-5 +3(3+5)

Parentheses first

-5 +3(8)

Multiply

-5+24

Subtract

19

sleet_krkn [62]2 years ago
5 0
Answer:

19

Step-by-step explanation:

x + y(3 - x) x = -5 y = 3

Step 1. Substitute x for -5 and y for 3

(-5) + (3)(3 - (-5))

Step 2. Solve for (3 - (-5))

(-5) + (3)(8)

Step 3. Multiply 3 and 8

(-5) + 24

Step 4. Add -5 and 24

(-5) + 24 = 24 + -5 = 19

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If you would like to find 2 numbers which you can add up to get 24 and multiply to get -25, you can calculate this using the following steps:

a + b = 24 ... b = 24 - a
a * b = -25 ... a * (24 - a) = -25 ... 24 * a - a^2 = -25 ... 0 = a^2 - 24 * a - 25
0 = (a - 25) * (a + 1)
1. a = 25
2. a = -1

b = 24 - a
1. b = 24 - 25 = -1
2. b = 24 - (-1) = 25

The numbers you are looking for are -1 and 25.
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