Question

Solve the system of equations and choose the correct ordered pair. 3x + 2y = 12 6x + 3y = 21

Answer 1

Answer:

( −2)⋅( 3x +2y )= (−2)(12)(-2)⋅(3x+2y)= (-2)(12)

6x+3y=21

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of x opposite.

Simplify ( -2) ⋅(3x+2y)(-2)⋅(3x+2y)

Apply the distributive property.

−2(3x) − 2 (2y)=(−2) (12)

6x+3y=21

Multiply 3 by -2.

−6x − 2(2y)= (2)(12)

6x+3y=21

Multiply 2 by -2

−6x −4y = (−2)(12)

6x+3y=21

Multiply -2 by 12

−6x−4   y=−24

X  6x+3 y=21

          -y = -3

Multiply each term in -y = -3 by -1.

(-y) ⋅ -1 = (-3) ⋅ -1

Multiply -1 by -1

1y = (-3) ⋅ -1

Multiply y by 1

y= (-3) ⋅ - 1

Multiply -3 by -1

y= 3

Substitute the value found for y into one of the original equations, then solve for x.

−6x −4⋅3=−24

Multiply −4 by 3.

−6x−12=−24

Move all terms not containing x to the right side of the equation.

Add 12 to both sides of the equation.

−6x = −24+12

Add −24 and 12.

−6x=−12

Divide each term by −6 and simplify.

Divide each term in  −6x = −12 by −6.

-6x     =       -12  

-6        =        -6      

Cancel the common factor of −6.

Divide x by 1.

         −12

x=      -6

Divide −12 by −6.

x=2

The solution to the independent system of equations can be represented as a point.

(2,3)

Equation Form:

x=2, y=3

Answer 2

Answer:

A) 3x + 2y = 12

B) 6x + 3y = 21

We multiply A) by -2

A) -6x -4y = -24  then we add B)

B) 6x + 3y = 21

-y = -3

y = 3

Since y = 3 then

x = 2

Step-by-step explanation: