In triangle pqr, rs=4 and qs=6. find ps

Step-by-step explanation:

we are given triangle as

we know that

triangle PRS and triangle PQS are similar

so, the ratios of their sides must be equal

we get

now, we are given

RS=4

QS=6

we can plug it

now, we can solve for PS

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