Question

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)

Answer 1

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!

Answer 2

(7,3)

Explanation:

X= -2+3y

....

-2+3y-3y=-2

-2+3y+3y=16

.......

6y=18

...

y=3

x=7