All categories

3 years ago

2y=-x+93×-6y=-15 whats the solution to the system

Mathematics

2 answers:

liq [111]3 years ago

8 0

Answer:

Step-by-step explanation:

2y = -x +9

3x - 6y = -15

The solution is the value of x and y that will make the two equations true in the same time.

3x-6y = -15; divide both sides by 3

x-2y = -5; substitute 2y for -x+9 because the first equation tell us they are equal

x-(-x+9) = -5; open parenthesis

x+x-9 = -5 ; add 9 to both sides and combine like terms

2x = -5 +9; 2x = 4; divide both sides by 2

x= 2

Substitute x for 2

2y = -x+9 ; 2y = -2 +9 ; 2y = 7; y = 7/2 = 3.5

Solution is (2, 3.5)

astraxan [27]3 years ago

3 0

Answer:

(2, 7/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Coordinates (x, y)
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2y = -x + 9

3x - 6y = -15

Step 2: Rewrite Systems

2y = -x + 9

[Division Property of Equality] Divide 2 on both sides: y = -x/2 + 9/2

Step 3: Redefine Systems

y = -x/2 + 9/2

3x - 6y = -15

Step 4: Solve for x

Substitute in y: 3x - 6(-x/2 + 9/2) = -15
Distribute -6: 3x + 3x - 27 = -15
Combine like terms: 6x - 27 = -15
[Addition Property of Equality] Add 27 on both sides: 6x = 12
[Division Property of Equality] Divide 6 on both sides: x = 2

Step 5: Solve for y

Define original equation: 2y = -x + 9
Substitute in x: 2y = -2 + 9
Add: 2y = 7
[Division Property of Equality] Divide 2 on both sides: y = 7/2

You might be interested in

Ana's statistics skills have been improving during her senior year at Fletcher High School. On her first end-of-the-week assessm

Virty [35]

It will be 89 because it increases by 4 each time

5 0

3 years ago

If xh=10 feet and mxy =100 degrees then determine the arc length of xy

schepotkina [342]

Answer:

The arc length XY is equal to $\frac{50}{9}\pi\ ft$ or $17.4\ ft$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the circumference of the circle H

The circumference is given by the formula

$C=2 \pi r$

we have

$r=xh=10\ ft$

substitute

$C=2 \pi (10)\\C=20\pi\ ft$

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

using proportion

Find out the length of the arc xy if the central angle is equal to 100 degrees

Remember that

$m\angle XHY=arc\ XY=100^o$ ---> by central angle

$\frac{20\pi}{360^o}=\frac{x}{100^o}\\\\x=20\pi(100)/360\\\\x=\frac{2,000}{360}\pi\ ft$

Simplify

$x=\frac{50}{9}\pi\ ft$ ----> exact value

To find out the approximate value

assume

$\pi=3.14$

substitute

$x=\frac{50}{9}(3.14)=17.4\ ft$ ----> approximate value

therefore

The arc length XY is equal to $\frac{50}{9}\pi\ ft$ or $17.4\ ft$

7 0

4 years ago

Does the point (3,1/5) lie on the line defined by 2x + 5y = 5

salantis [7]

Plug in values and check for equality.

2(3)+5(1/5)=5
6+5(1/5)=5
6+1=5
7=5

Final answer: No

4 0

3 years ago

The standard form of Y+6=-3(×+1)

AlexFokin [52]

Answer: 3x+y=-9

Step-by-step explanation:

Step 1 is distribute y+6 = -3(x+1)

y+6 =-3x-3

Mow you have to move your x over because standard form is Ax+By=C

y+6+3x =-3

Move your +6 by subtracting from both sides

3x+y=-9

4 0

3 years ago

Maria takes guitar lessons that last 4/5 of an hour. She had 4 lessons last week. What is the total number of hours Maria spent

Mazyrski [523]

192 minutes or 3 hours and 12 minutes

an hour is 60 minutes and 60 divided by five is 12 so i multiplied 12 by 4, which is 48 and multiplied 48 by 4 and i got my answer

4 0

3 years ago

2y=-x+93×-6y=-15 whats the solution to the system​

2y=-x+93×-6y=-15 whats the solution to the system