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ki77a [65]
3 years ago
9

Which of the expressions are equivalent to the one below? Check all that apply.

Mathematics
1 answer:
sdas [7]3 years ago
8 0

Step-by-step explanation:

We need to find an expression that is equivalent to 4×(8+3)

We know that,

4×(8+3) = 4(11) = 44

Option (1).

(4 • 8) + 3 = 32+3 = 35. It is incorrect

Option (2).

(8 + 3) • 4 = (11) 4 = 44. It is correct.

Option (3).

4 • (3 + 8) = 4(11) = 44. It is correct.

Option (4).

4 • 8 + 4 • 3 = 32+12 = 44. It is correct.

Hence, the correct options are (2), (3) and (4).

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The solution to the system equations
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Let's solve this system of equations through substitution.

We have these two equations.

-7x-2y=14

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Now let divide the second equation by 6.

6x+6y=18 ---->   x+y=3

Next, let us move y to the right side of the equation.

x+y=3 -------> x=3-y (x equals 3-y)

Because we found out that what x is in terms of y, we can input that in for every instance of x in this equation below.

-7x-2y=14 becomes -7(3-y)-2y=14 (Why? Because x equals 3-y!)

We have a one variable equation now and can solve for y.

-7(3-y)-2y=14

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Plug in 7 for y in any equation to find x.

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Step-by-step explanation:

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