Does the equation 5x-(7x-1)=-3x+8 has exactly one solution

x=7  so there is one solution

Step-by-step explanation:

5x-(7x-1)=-3x+8

Distribute the minus sign

5x -7x +1 = -3x+8

Combine like terms

-2x +1 = -3x+8

Add 3x to each side

-2x+3x+1 = -3x+3x+8

x+1 = 8

Subtract 1 from each side

x+1-1=8-1

x=7

Yes

Step-by-step explanation:

5x-(7x-1)=-3x+8

5x - 7x + 1 = -3x + 8

-2x + 3x = 8 - 1

x = 7

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18