Solve the system by substitution.
y = 5x
y = 9x + 8

(-2,-10)

Step-by-step explanation:

So if y=5x and if y=9x+8 then those should be able to equal each other (substitution):

5x=9x+8

Subtract 5x from both sides:

0=4x+8

Subtract 8 from both sides:

-8=4x

Divide both sides by 4:

x=-2

If x=-2, then we can just plug it back into the first equation:

y=5(-2)

Simplify:

y=-10

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.