What is the solution to this system of linear equations? X - 3y = -2
X + 3y = 16
O (7, 3)
o (3, 7)
O
(-2, -3)
O (-3, -2)

(7,3)

Step-by-step explanation:

X= -2+3y

-2+3y-3y=-2

-2+3y+3y=16

6y=18

...

y=3

x=7

Given,

x - 3y = -2

x + 3y = 16

so,

solve a equation of x and we got,

x = 3y - 2

now,

x = 3y - 2

x + 3y = 16

now, substitute the given x value into the equation x + 3y = 16 so we got,

(3y - 2) + 3y = 16

solve a equation to y so

y = 3

substitute the given y value into the x equation

so we got,

x = 3y - 2

= x = 3×3 - 2

= x = 7

so x = 7 and y = 3

so option A is correct!

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .