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jasenka [17]
3 years ago
11

5.Regarding the equations below. What is the value of x? 5x + 2y = 4 x – 3y = –23

Mathematics
1 answer:
insens350 [35]3 years ago
3 0

Answer:

x=−2

y=7

Step-by-step explanation:

5x+2y=4

x−3y=−23

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

5x+2y=4,x−3y=−23

To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.

5x+2y=4,5x+5(−3)y=5(−23)

Simplify.

5x+2y=4,5x−15y=−115

Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.

5x−5x+2y+15y=4+115

Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.

2y+15y=4+115

Add 2y to 15y.

17y=4+115

Add 4 to 115.

17y=119

Divide both sides by 17.

y=7

Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.

x−3×7=−23

Multiply −3 times 7.

x−21=−23

Add 21 to both sides of the equation.

x=−2

The system is now solved.

x=−2,y=7

Graph if needed:

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An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram c
Ad libitum [116K]

Answer:

The correct options is A.

Step-by-step explanation:

The each diagonal of an irregular parallelogram divides the parallelogram in two equal and congruent parts. The diagonal bisects each other.

It means, if a irregular parallelogram rotates 180° about the midpoint of its diagonal, then the image of the parallelogram coincide with its preimage during the rotation.

If a irregular parallelogram rotates 360° about the midpoint of its diagonal, then the image of the parallelogram coincide 2 times with its preimage during the rotation.

Therefore the correct option is A.

6 0
3 years ago
Jose invested $5000 into a fund with an interest rate of 4.8%.
Minchanka [31]
$5000 × 0.048×2= $480

Answer: $480
3 0
3 years ago
What is (−8 3/4)÷2 1/6?
docker41 [41]

Answer:

-4.03846153846

Step-by-step explanation:

done

5 0
2 years ago
What is the explicit formula for this sequence?
ddd [48]

Answer:

a_n=-7+4(n-1)

or

a_n=-7+(n-1)(4)

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is y-y_1=m(x-x_1).

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form.  So they are using (1,-7).

So let's put this into our point-slope form:

y-(-7)=4(x-1)

y+7=4(x-1)

Subtract 7 on both sides:

y=-7+4(x-1)

So your answer is

a_n=-7+4(n-1)

6 0
3 years ago
Without using your calculator, work out 27 -
den301095 [7]

Answer: So, 27 as a fraction would be 27/1 i guess? lol

4 0
2 years ago
Read 2 more answers
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