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3 years ago

X-5y=33 5x-6y=70 solve the system by the addition method

Mathematics

1 answer:

BARSIC [14]3 years ago

7 0

For this case we have the following system of equations:

$x-5y = 33\\5x-6y = 70$

We multiply the first equation by -5:

$-5x + 25y = -165$

Thus, we have the equivalent system:

$-5x + 25y = -165\\5x-6y = 70$

We add the equations:

$-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5$

We find the value of the variable "x":

$x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8$

Thus, the solution of the system is:

$(x, y) :( 8, -5)$

Answer:

$(x, y) :( 8, -5)$

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This year, benny is 12 years old, and his mom is 48 years old. In how many years will benny be 50% of his mom's age

Dahasolnce [82]

It will take 12 years for Benny to reach his moms height.

Benny’s mom: 48
Benny: 12

Half of 48 is 24, so Benny will have to turn 24.

24 - 12= 12

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2 years ago

Need help please. Kind of confused

muminat

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3 years ago

Read 2 more answers

Each treasure hunt team will have 5 people. So far 42 people have signed up. How many more people are needed to make every team

julia-pushkina [17]

Answer:

1) 3 more people

2) 9 teams

Step-by-step explanation:

The divisibility rule for 5 is that it must end in 5 and 0

so the next one is 45, so 3 more people

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

45/5=9 teams

3 0

1 year ago

Use Pythagorean Theorem to solve for x. HELP ME PLZZZZ!!!! ASAP

4vir4ik [10]

Answer: $2\sqrt{22}$

Step-by-step explanation:

Pythagorean theorem: $a^{2} +b^{2} = c^{2}$ , where a and b are the legs and c is the hypotenuse.

We can solve for x by only using the left side of the triangle. Since we're only using the left side of the triangle, we can reduce 18 by 2 to get 9. Now we plug in our information to the equation.

$9^{2} +b^{2} = 13^{2}$

$81 +b^{2} = 169$

Since we don't know what $b^{2}$ is, we're going to isolate it by subtracting 81 on both sides

$b^{2} = 88$

We have to square root both sides in order to find out b (or x in the problem).

$\sqrt{b^{2}} = \sqrt{88}$

When you put this on a calculator it would result in $2\sqrt{22}$ which is the answer d in the problem.

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3 years ago

Can you plz solve 6-8 on this pic you have to find the area for it plz

Sergio039 [100]

Answer:

Figure 3: 28.5 units²

Figure 4: 33 units²

Figure 5: 25 units²

Figure 6: 30 units²

Figure 7: 25 units²

Figure 8: 32 units²

Reasons:

Figure 3 consists of 2 shapes, A rectangle and a square

████████ ◣

rectangle: ████████ triangle: █◣

████████ ██◣

rectangle:

to calculate a rectangle's area: multiply the lengths of the width and height:

████████= width 8 █

█ =height 3

█

$area=w(h)$

now substitute the values of W and H:

$8(3)=24$

rectangle area = 24

Triangle:

to find the area of a triangle, multiply the width and height and divide by two:

◣ + ◣ = █ 0.5 + 0.5 = 1

█

███=width 3 █ =height 3

█

$area=\frac{w(h)}{2}$

now substitute W and H

$area=\frac{3(3)}{2}$

$area\frac{9}{2}$

Triangle area: 4.5

Now add the Rectangle Area To the triangle Area:

4.5 + 24 = 28.5

Final answer:

AREA =2 8.5

hope this helps!

5 0

2 years ago