What is the x-intercept and the y-intercept of the graph of 6x - 3y = 18? Show your work.

see below

Step-by-step explanation:

To find the x intercept set y = 0 and solve for x

6x - 3y = 18

6x - 0 = 18

6x = 18

Divide by 6

6x/6 = 18/6

x = 3

(3,0)

To find the y intercept set x = 0 and solve for y

6x - 3y = 18

0 - 3y = 18

-3y = 18

Divide by -3

-3y/-3 = 18/-3

y = -6

(0,-6)

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3