System of equations please help my teacher sent home a review packet from last year u don't remember this. help me

C

Step-by-step explanation:

Given the 2 equations

3y = x - 2 → (1)

y = - 2x + 4 → (2)

Substitute y = - 2x + 4 into (1)

3(- 2x + 4) = x - 2, that is

- 6x + 12 = x - 2 ( subtract x from both sides )

- 7x + 12 = - 2 ( subtract 12 from both sides )

- 7x = - 14 ( divide both sides by - 7 )

x = 2

Substitute x = 2 into (2) for corresponding value of y

y = - 2(2) + 4 = - 4 + 4 = 0

Thus x = 2 : y = 0 → C

shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns

answer: 89 x 5

step-by-step explanation: