6x - 2y = 10
2x + 3y = 51
Solving the first equation above for y gives:
y =
X-5
DO NE

y = 3x -5

Step-by-step explanation:

6x - 2y = 10

-6x. -6x

Inverse Operations

-2y = -6x + 10

÷-2. ÷-2. ÷-2

y = 3x - 5

6x – 2y = 10

2x + 3y = 51

Solving the first equation above for y gives:

     y =        (3)     x – 5

Which choice shows the result of substituting

3x – 5 into the second equation for y?

2(3x – 5) + 3x = 51

2x + 3(3x – 5) = 51      its B

2(3x – 5) + 3y = 51

Solving the equation 2x + 3(3x – 5) = 51

for x gives x =

---6.

The complete solution to the system is:

(6,  13)

Step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b