2x + y = -2
5x + 3y = -8
·please help
·solving systems by elimination
·intermediate algebra

x = 2 , y = -6

Step-by-step explanation by elimination:

Solve the following system:

{2 x + y = -2 | (equation 1)

5 x + 3 y = -8 | (equation 2)

Swap equation 1 with equation 2:

{5 x + 3 y = -8 | (equation 1)

2 x + y = -2 | (equation 2)

Subtract 2/5 × (equation 1) from equation 2:

{5 x + 3 y = -8 | (equation 1)

0 x - y/5 = 6/5 | (equation 2)

Multiply equation 2 by 5:

{5 x + 3 y = -8 | (equation 1)

0 x - y = 6 | (equation 2)

Multiply equation 2 by -1:

{5 x + 3 y = -8 | (equation 1)

0 x+y = -6 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{5 x+0 y = 10 | (equation 1)

0 x+y = -6 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 2 | (equation 1)

0 x+y = -6 | (equation 2)

Collect results:

{x = 2 , y = -6

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph