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3 years ago

Solve the following system of equations. Express your answer as an ordered pair in the format (a,

2 answers:

8 0

The second equation is <span>-5-2y=2, then
</span>
<span>-2y=2-(-5),
</span>
-2y=2+5,
-2y=7,
y=7÷(-2),
y=-3.5.
The first equation is 2x+5y=16, subtitude y=-3.5 in this equation, then
2x+5·(-3.5)=16,
2x-17.5=16,
2x=16-(-17.5),
2x=16+17.5,
2x=33.5,
x=33.5÷2,
x=16.75.
Answer: (16.75,-3.5)

aleksandr82 [10.1K]3 years ago

3 0

Answer:

(x,y) = (-2,4)

Step-by-step explanation:

Consider the system of equation,

2x + 5y = 16 .......... (1)

-5x - 2y = 2 ......... (2)

Using Elimination method to solve the system of equation,

Multiply equation (1) by 5 , we get,

10x + 25y = 80 ...........(3)

Multiply equation (2) by 2 , we get,

-10x - 4y = 4 ......... (4)

Adding (3) and (4) , we get,

10x + 25y +( -10x - 4y )= 4 + 80

10x and -10x got cancel, we get,

25y - 4y = 84

⇒ 21y = 84

⇒ y = 4

Put y = 4 in (1),

2x + 5(4) = 16 ⇒ 2x = 16 - 20 ⇒ 2x = -4 ⇒ x = -2

Thus, (x,y) = (-2,4)

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By solving the linear equation it can be obtained that

The value of x is 2

What is a linear equation?

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Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

The given linear equation is

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1 year ago

-2/3x+7(3/7-3/7x) -12 divided by 6*3

Anna71 [15]

Answer:

x = (-27)/11

Step-by-step explanation:

Solve for x:

(-11 x)/54 - 1/2 = 0

Put each term in (-11 x)/54 - 1/2 over the common denominator 54: (-11 x)/54 - 1/2 = (-27)/54 - (11 x)/54:

(-27)/54 - (11 x)/54 = 0

(-27)/54 - (11 x)/54 = (-11 x - 27)/54:

(-11 x - 27)/54 = 0

Multiply both sides of (-11 x - 27)/54 = 0 by 54:

(54 (-11 x - 27))/54 = 54×0

(54 (-11 x - 27))/54 = 54/54×(-11 x - 27) = -11 x - 27:

-11 x - 27 = 54×0

0×54 = 0:

-11 x - 27 = 0

Add 27 to both sides:

(27 - 27) - 11 x = 27

27 - 27 = 0:

-11 x = 27

Divide both sides of -11 x = 27 by -11:

(-11 x)/(-11) = 27/(-11)

(-11)/(-11) = 1:

x = 27/(-11)

Multiply numerator and denominator of 27/(-11) by -1:

Answer:x = (-27)/11

5 0

3 years ago

the imax screen at the michigan science center is 22 meters wide and 16.1 meters tall. what is diagonal length of the screen? us

Fudgin [204]

Hypotenuse therom ( a^2 + b^2 = c^2)

1) find c^2

22^2 + 16.1^2= c^2 ———->743.21

2) square root c^2 to find c

square root of 743.21 = 27.2 so D

4 0

2 years ago

Question 101 points)

maw [93]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x+\dfrac{13}{3}}$

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\===============================$

$\text{We have the point:}\\\\(5,\ 1)\ \text{and}\ (-4,\ 7).\ \text{Substitute:}\\\\m=\dfrac{7-1}{-4-5}=\dfrac{6}{-9}=-\dfrac{6:3}{9:3}=-\dfrac{2}{3}\\\\\text{We have the equation in form:}\\\\y=-\dfrac{2}{3}x+b\\\\\text{Put the coordinates of the point (5, 1) to the equation:}\\\\1=-\dfrac{2}{3}(5)+b\\\\1=-\dfrac{10}{3}+b\qquad\text{add}\ \dfrac{10}{3}\ \text{to the both sides}\\\\\dfrac{3}{3}+\dfrac{10}{3}=b\to b=\dfrac{13}{3}\\\\\text{Finally:}\\\\y=-\dfrac{2}{3}x+\dfrac{13}{3}$

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3 years ago

8x+8(c+8)-6 show work its for my homework i get it but im just making sure i did it right:)

ioda

8x+8c+164-6
=8x+8c+158

7 0

3 years ago

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