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2 years ago

Simplify by using the distributive property 5 ( 2x - 5 )

Mathematics

2 answers:

Gennadij [26K]2 years ago

7 0

Answer: C = 10x - 25

Step-by-step explanation:

drek231 [11]2 years ago

3 0

Hello!

The problem has asked that we simplify the given expression using the Distributive Property. The Distributive Property states the following:

a(b + c) = ab + ac
a(b – c) = ab – ac

In this case, we’ll use the second of the two formulas listed above. Let’s begin by inserting any known values given in the original problem:

a(b – c) = ab – ac
5(2x – 5) = 5(2x) – 5(5)

Now simplify the right side of the equation:

5(2x) – 5(5) = 10x – 25

We have now proven that 5(2x – 5) is equal to 10x – 25. Therefore, the correct answer is C.

I hope this helps!

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2 years ago

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masha68 [24]

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Step-by-step explanation:

Eliminate y-term

$(2x + 5x) + ( - 3y + 3y) = 25 + 10 \\ 7x = 35 \\ x = \frac{35}{7} \\ x = 5$

We can eliminate x-term but for this system of equations, eliminating y-term is faster.

Substitute x = 5 in any given equations.

I will choose to substitute in the first equation.

$2x - 3y = 25 \\ 2(5) - 3y = 25 \\ 10 - 3y = 25 \\ 10 - 25 = 3y \\ - 1 5 = 3y \\ 3y = - 15 \\ y = - 5$

Answer Check

Substitute both x-value and y-value in any given equations

$2x - 3y = 25 \\ 2(5) - 3( - 5) = 25 \\ 10 + 15 = 25 \\ 25 = 25$

The equation is true. (It is better to check both the answer for both equation.)

Thus the answer is (5,-5)

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