X + y = -2
-3x + y = -6
solve using substitution

(1, - 3 )

Step-by-step explanation:

Given the 2 equations

x + y = - 2 → (1)

- 3x + y = - 6 → (2)

Rearrange (2) expressing y in terms of x by adding 3x to both sides

y = - 6 + 3x → (3)

Substitute y = - 6 + 3x into (1)

x - 6 + 3x = - 2

4x - 6 = - 2 ( add 6 to both sides )

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into (3) for corresponding value of y

y = - 6 + 3(1) = - 6 + 3 = - 3

solution is (1, - 3 )

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!