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dimulka [17.4K]
3 years ago
15

For the following system of equations, what is the x-value of the solution? -x+2=6 6y=x+18

Mathematics
2 answers:
AlexFokin [52]3 years ago
7 0

Answer:

Option B is correct.

The value of x is, 0

Step-by-step explanation:

Given the system of equation:

-x+2y =6                 .....[1]

6y =x+18               ......[2]

We can write equation [1] as;

-x = 6-2y  or

x = -6 + 2y                  ......[3]

Substitute equation [3] in [2] we get;

6y =-6 + 2y + 18

or

6y = 2y +12

Subtract 2y from both sides we get;

6y -2y = 2y+ 12 -2y

Simplify:

4y = 12

Divide both sides by 4 we get;

\frac{4y}{4} =\frac{12}{4}

Simplify:

y =3

Substitute the value of y in equation [3] to solve for x;

x = -6 + 2(3)

x = -6 +6 = 0

Therefore, the value of x is, 0



Anna007 [38]3 years ago
4 0

Answer:

For those of you doing unit  7  lesson 2  solving systems using substitution  questions 1-4

Step-by-step explanation:

1. A

2. C

3. C

4. D

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On the line you created from part A, mark a point D that is distinct from point C. Then, use the slope formula along with the co
ad-work [718]

The slope of AB and the slope of DC based on the information about the coordinate will be -2 and -2 respectively.

<h3>How to illustrate the information?</h3>

From the information given, we are told to use the slope formula along with the coordinates of points A, B, C, and D to find the slope.

The slope of AB based on the information will be:

= (-1 -3)/(-1 --3)

= -4/2

= 2

The slope of DC will be:

= 2-6/(1 --1)

= -4/2

= -2

Therefore, the slope of AB and the slope of DC based on the information about the coordinate will be -2 and -2 respectively.

Learn more about coordinate on:

brainly.com/question/11337174

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7 0
1 year ago
Does anyone know how to do this ?
goldenfox [79]

Answer: D) 32

Step-by-step explanation:

The area of a parallelogram equals its base times its height. Substitute the base and area into this formula to solve for the height:

A=bh

40=(5)(h)

h=8

If ABCD is a parallelogram, opposite sides are parallel, so AB is parallel to DC. If AB is parallel to DC, EB is parallel to DC. Since EB is parallel to DC, quadrilateral EBCD has at least one pair of parallel sides, making it a trapezoid. The area of a trapezoid is equal to \frac{h(b_{1}+b_{2})  }{2} where h is the height, b_{1} is one base, and b_{2} is the other base. Plug the necessary values into the formula:

A=\frac{h(b_{1}+b_{2})  }{2}

b_{1} =AB-AE\\DC=AB\\b_{1} =DC-AE\\b_{1} =5-2\\b_{1} =3

b_{2} =5

h=8

A=\frac{8(3+5)}{2}

A=32

The answer is D) 32.

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