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2 years ago

-2x-9y=25 4x+9y=23 solve with elimination

Mathematics

1 answer:

Masja [62]2 years ago

4 0

Answer:

x = 24 and y= −73/9

Step-by-step explanation:

Let's solve your system by elimination.

−2x−9y=25;4x+9y=23

------------------------

−2x−9y=25

4x+9y=23

Add these equations to eliminate y:

2x=48

Then solve2x=48for x:

2x=48

2x/2 = 48/2

(Divide both sides by 2)

x=24

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−2x−9y=25

Substitute24forxin−2x−9y=25:

(−2)(24)−9y=25

−9y−48=25(Simplify both sides of the equation)

−9y−48+48=25+48(Add 48 to both sides)

−9y=73

−9y/−9 = 73/−9

(Divide both sides by -9)

y= −73/9

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3 years ago

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3 years ago

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3 years ago

Read 2 more answers

The angle bisector of ∠ACD in rhombus ABCD makes a 64° angle with the diagonal BD. Find the measure of ∠BAD.

saveliy_v [14]

The complete question in the attached figure

we know that
the diagonals of a rhombus intersect to form right angles,
so
angle ACE is ----------> (90°-64°)-----------> 26°
ACE is the angle bisector of ACD, this means that ACD is ---------> 26 x 2 = 52°

The diagonals are angle bisectors to the opposite corners
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ACD = ACB = 52°
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3 years ago

Two lines intersect to form a linear pair with equal measures. One angle had the measure 2x and the other angle had the measure

rosijanka [135]

Answer:

x = 45, y = 5

Step-by-step explanation:

It is given that two lines form a linear pair with equal measures. Therefore, the angle between the two lines will be 90. Now, according to the question,

2x + 20y - 10 =90

2x+20y = 100

x + 10y = 50

And

2x = 20y-10

x = 10y -5

x - 10 y = -5

Now, adding x + 10y = 50 and x - 10y =-5, the value of x can be found. The required value will be:

x + 10y =50

x - 10y = -5

------------------

x = 45

Therefore, the value of y after substitution of the value of x in one of the equations will be:

90 = 20y - 10

20 y = 100

y = 5

Hence, the required value of x and y are 45 and 5 respectively.

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3 years ago