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Natasha_Volkova [10]
3 years ago
6

Use the substitution method to solve the system of equations. Choose the

Mathematics
1 answer:
Hatshy [7]3 years ago
4 0

Answer:

(3, 2) is the ordered pair for the given system of equations.

Step-by-step explanation:

Given:

2 x+ y = 8.......................(i)

y = - x + 5........................(ii)

<u>Put y = - x + 5 in equation (i)-</u>

<em>2 x + ( - x+ 5) = 8</em>

<em>2 x - x + 5 = 8</em>

<em>x = 8 - 5</em>

<em>x = 3</em>

<u>Now put x = 3 in equation (ii)-</u>

<em>y = - 3 + 5</em>

<em>y = 2</em>

Hence the (3, 2) is the correct ordered pair.

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1. A school store sells pencils and erasers before school opens each day. On Monday, 13 pencils and
JulsSmile [24]

Answer:

price of pencil is 0.74 and eraser is 0.72$

Step-by-step explanation:

Let, "p" represent pencils

and "e" represents erasers.

hence, according to question

13p+10e=16.75 ________(1)

and 25p+2e=19.85________(2)

Multiplying equation (2) by 5,

hence, 125p+10e=99.25________(3)

Substracting equation (3) and (1)

125p+10e-(13p+10e)=99.25-16.75

hence, 112p=82.5

p=0.74

substituting the value in equation (1),

13(0.74)+10e=16.75

9.57+10e=16.75

on solving,

e=0.72

hence, price of one pencil is 0.75$, and price of one eraser is $0.72

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3 years ago
The digit in the tens place is the value of a fraction with the same numerator and denominator
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3 years ago
Evaluate the expression 3(7 + 4)2 − 24 ÷ 6
solong [7]

Answer:

3(7 + 4)2 − 24 ÷ 6 = 62

Step-by-step explanation:

3(7 + 4)2 − 24 ÷ 6 is the given expression.

Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,

M = multiplication, A = addition and S = subtraction

we try and solve the following expression in the same order.

Solving the bracket first, we get

3<u>(7 + 4)</u>2 − 24 ÷ 6 = 3(<u>11</u>)2 − 24 ÷ 6  =<u> 66</u>  − 24 ÷ 6

Next, we solve divide,

66 − <u>24 ÷ 6</u> = 66 - <u>4</u>  

Next, solving the subtraction, 66 - 4    = 62

Hence, 3(7 + 4)2 − 24 ÷ 6 = 62

6 0
3 years ago
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