8x+2y=2
y=-5x+3

,7) b.(2,7)

c.no solution d.(0,-8)

(2,-7)

Step-by-step explanation:

Solve for x.

Plug in the value for y into the equation.

y=-5x+3

8x+2y=2

8x + 2(-5x+3)=2

8x-10x+6=2

         -6   -6

8x-10x = 2-6

8x-10x = -4

-2x = -4

÷ -2  ÷ -2

x = 2

Solve for y.

Plug in the value for x into the equation.

8x+2y=2

8(2) + 2y=2

16 + 2y = 2

- 16        - 16

2y = 2 - 16

2y = -14

÷ 2    ÷2

y = -7

Solve.

Determine if x and y values work.

8(2)+2(-7)=2

16-14=2

2=2

x and y values work so the answer is: (2,-7)

The equation would be y = -4/7x - 1

Step-by-step explanation:

Given that we have the slope and the point, we can solve for the equation using point-slope form.

y - y1 = m(x - x1)

y + 5 = -4/7(x - 7)

y + 5 = -4/7x + 4

y = -4/7x - 1