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Marizza181 [45]
4 years ago
13

Solve the simultaneous equations 2x + 3 = 13 4x +- y = -2

Mathematics
1 answer:
ivolga24 [154]4 years ago
8 0

Answer:

x=5 and y=22

Step-by-step explanation:

2x+3=13

2x+3+−3=13+−3(Add -3 to both sides)

2x=10

\frac{2x}{2} = \frac{10}{2} (Divide both sides by 2)

x  = 5

Substitute5forxin4x−y=−2:

4x−y=−2

(4)(5)−y=−2

−y+20=−2(Simplify both sides of the equation)

−y+20+−20=−2+−20(Add -20 to both sides)

−y=−22

\frac{-y}{-1} = \frac{-22}{-1}  (Divide both sides by -1)

y=22

<h2><u><em>Hope this helped!!</em></u></h2>
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Name two fractions that are closer to 1 than 1/2. Then name two fractions that are closer to 1 than to 0 or 1 and two other frac
Natasha2012 [34]

Answer:

1)

<em>Name two fractions that are closer to 1 than 1/2?</em>

We are asked to find two fractions that are closer to 1 than 1/2.

We know that the equivalent fraction to 1/2 is 5/10

and 1 can be written as 10/10.

Hence,

the fraction between 5/10 and 10/10 are:

6/10, 7/10, 8/10, 9/10

The fractions that are close to 1( i.e. 10/10) than to 1/2( i.e. 5/10) are:

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2)

<em>Name two fractions that are closer to 1 than to 0?</em>

We know that the equivalent fraction to 1 is 5/5.

also to 0 is 0/5

The fractions that lie between 0(i.e. 0/5) and 1( i.e. 5/5) are:

1/5, 2/5, 3/5 , 4/5

Hence the fractions closer to 1 than to 0 are:

3/5 and 4/5.

3)

<em>Name two other fractions that are closer to 0 than to 1/2?</em>

We know that the equivalent fraction to 0 is 0/10

and to 1/2 is 5/10

The fractions that lie between 0(i.e. 0/10) and 1/2(i.e. 5/10) are:

1/10, 2/10 , 3/10 , 4/10

Hence the fraction closer to 0 than to 1/2 are:

1/10 , 2/10.

4)

<em> Find two of your fractions that have a sum of about 1 1/2?</em>

We know that 1 1/2 can also be written as: 3/2

The two fractions such that they sum upto 3/2 are:

1/2 and 2/2 i.e.

\dfrac{1}{2}+\dfrac{2}{2}=\dfrac{3}{2}

Hence the two fractions are:

1/2 and 2/2

<em />

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3 years ago
A picture frame is 16 inches long and 9 inches tall. It is 2 inches wide on all 4 sides. What is the area of the picture frame?
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salantis [7]

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