Which is the solution to the system of equations? y=1/3x+2 y=4/3x-5

x = 7 . y = 13/3

Step-by-step explanation:

Solve the following system:

{y = x/3 + 2

y = (4 x)/3 - 5

Express the system in standard form:

{-x/3 + y = 2

-(4 x)/3 + y = -5

Express the system in matrix form:

(-1/3 | 1

-4/3 | 1)(x

y) = (2

-5)

Write the system in augmented matrix form and use Gaussian elimination:

(-1/3 | 1 | 2

-4/3 | 1 | -5)

Swap row 1 with row 2:

(-4/3 | 1 | -5

-1/3 | 1 | 2)

Subtract 1/4 × (row 1) from row 2:

(-4/3 | 1 | -5

0 | 3/4 | 13/4)

Multiply row 1 by 3:

(-4 | 3 | -15

0 | 3/4 | 13/4)

Multiply row 2 by 4:

(-4 | 3 | -15

0 | 3 | 13)

Divide row 2 by 3:

(-4 | 3 | -15

0 | 1 | 13/3)

Subtract 3 × (row 2) from row 1:

(-4 | 0 | -28

0 | 1 | 13/3)

Divide row 1 by -4:

(1 | 0 | 7

0 | 1 | 13/3)

Collect results:

 {x = 7 . y = 13/3

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

the answer is 9 because the question is telling how much it be together.