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Makovka662 [10]
3 years ago
13

Solve for x: 5x - 3y = 22 10x - 4y = 46​

Mathematics
1 answer:
Alik [6]3 years ago
8 0

Answer:

x=5, y=1

Step-by-step explanation:

Isolate x for 5x-3y=22

5x-3y=22

Add 3y to both sides

5x-3y+3y=22+3y

Simplify

5x=22+3y

Divide both sides by 5

5x/5=22/5+3y/5

Simplify

x=22+3y/5

Substitute  x=22+3y/5

10*22+3y/5-4y=46

Simplify 10*22+3y/5-4y

10*22+3y/5=2(3y+22)

=2(3y+22)-4y

Expand 2(3y+22)

=6y+44-4y

Simplify 6y+44-4y

=2y+44

Isolate y for 2y+44=46

2y+44=46

Subtract 44 from both sides:

2y+44-44=46-44

Simplify

2y=2

Divide both sides by 2;

2y/2=2/2

Simplify;

y=1

For x=22+3*1/5 substitute y=1

y=22+3*1/5

22+3*1=25

=25/5

Divide the numbers;25/5=5

=5

x=5

The solutions to the system of equations are;

x=5, y=1

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40 is what percent of 32?
Daniel [21]

Answer:

125%

Step-by-step explanation:

Is means equals and of means multiply

40 = P * 32  where P is in decimal form

Divide each side by 32

40/32 = P

1.25 = P

Now change to percent form ( multiply by 100)

125%

7 0
3 years ago
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Which unit rate is the lowest price per ounce? Please answer ASAP
algol13

Answer:

Choice A

Step-by-step explanation:

Choice A: $1.49/6 oz = $0.248/oz

Choice B: $3.59/13 oz = $0.276/oz

Therefore, Choice A is the lower price per ounce.

5 0
3 years ago
The outer diameter of a spherical shell is 36 pie cm³and its inner diameter is 9 cm. Find the volume of the metal contained the
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4 0
3 years ago
5÷x-4 - 2÷x+2 = 4÷x-4
Alborosie
I'd suggest you begin by subtracting 4 / (x-4) from both sides.  Doing that would leave you with    1 / (x-4)   -     2 / (x+2) =  0.

LCD is (x-4)(x+2).  Mult. all three terms by (x-4)(x+2).  The resulting equation is 

x+2 - 2(x-4) = 0.     Then x+2 = 2x - 8  =>  x = 10

Subst. 10 for x in the original equation to verify that 10 is indeed a solution.


8 0
3 years ago
Alexis is knitting a blanket 2 meters long. Every 2 decimeters, she changes the color of the yarn to make stripes. How many stri
IgorC [24]

Answer:

There are 10 stripes in the blanket.

Step-by-step explanation:

We are given the following in the question:

Length of blanket = 2 meters

1 meter = 10 decimeter

Length of blanket in decimeter =

2\times 10 = 20\text{ decimeters}

Change of color = Every 2 decimeters.

Number of stripe =

=\dfrac{\text{Length of blanket}}{\text{Length of change of color of stripe}}\\\\=\dfrac{20}{2} = 10

Thus, there are 10 stripes in the blanket.

3 0
4 years ago
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