Mathematics, 21.06.2019 19:00 5001Je

X2 + y 2 = 36 x + y = 6 solve the system of equations.

Answers: 3

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Answer from: nicpinela1234

x = 6 and y = 0 or x = 0 and y = 6 → (6, 0) or (0, 6)

Step-by-step explanation:

$\left\{\begin{array}{ccc}x^2+y^2=36\\x+y=6&\text{subtract y from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x^2+y^2=36&(1)\\x=6-y&(2)\end{array}\right\qquad\text{substitute (2) to (1):}\\\\(6-y)^2+y^2=36\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\6^2-(2)(6)(y)+y^2+y^2=36\\36-12y+2y^2=36\qquad\text{subtract 36 from both sides}\\2y^2-12y=0\qquad\text{distributive}\\2y(y-6)=0\iff2y=0\ \vee\ y-6=0\\\\2y=0\qquad\text{divide both sides by 2}\\y=0\\\\y-6=0\qquad\text{add 6 to both sides}\\y=6$

$\text{put the values of y to (2):}\\\\for\ y=0:\\x=6-0=6\\\\for\ y=6\\x=6-6=0$

Answer from: chrissycherry

( 2, 4 )

Step-by-step explanation:

Convert one of the equations to standard form

y= 2x

x + y = 6

(Plug y into the other equation)

x + 2x = 6

3x = 6

x = 2

(Plug x into the y equation)

y = 2(2)

y = 4

Answer from: penaabel1492

(6, 0)

Step-by-step explanation:

There are a few different methods to solve system of equations. For this problem, you can use substitution by solving one of the equations for a variable and then substituting this expression into the other equation to solve for the remaining variable:

x - y = 6, add 'y' to both sides to solve for 'x': x - y + y = 6 + y or x = 6 + y

Using the expression '6 + y' for the value of 'x' in the second equation:

2x + 3y = 12 or 2(6+y) + 3y = 12 or 12 + 2y + 3y = 12 or 12 + 5y = 12

Subtract 12 from both sides: 12 + 5y - 12 = 12 - 12 or 5y = 0 so y = 0

Now that you know the value of 'y', you can solve for 'x':

x = 6 + 0 or x = 6

Put the values of 'x' and 'y' into an ordered pair: (6,0).

Answer from: kennyduong04

x= 6 -y

Step-by-step explanation:

Subtract

from both sides of the equation.

Answer from: taterbuglee2003

The answer is 6 jsjshsns

Answer from: gabrielaperezcz

Using substitution:

13(y+6)-6y=22
13y+78-6y=22
7y+78=22
/// -78 -78
7y=-56
÷7 ÷7
y=-8

x=y+6
x=-8+6
x=-2

So, x equals -2 and y equals -8.

Answer from: mandyO1

X+2y=10 Eq.1
x+y=6Eq.2
from Eq2.
x=6-y
Subtituting the value of X in the first equation
6-y+2y=10
6+y=10
y=4
Plug y=4 in equation 2.
x+4=6
X= 2

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X2 + y 2 = 36 x + y = 6 solve the system of equations....

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