Question

What is the solution to this system of linear equations?

2x + 3y = 3
7x – 3y = 24
O (27)
(3.-21)
(3, -1)
(9,0)

Answer 1

(3, - 1 )

Explanation:

Given the 2 equations

2x + 3y = 3 → (1)

7x - 3y = 24 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

(2x + 7x) + (3y - 3y) = (3 + 24), so

9x = 27 ( divide both sides by 9 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Using (1), then

(2 × 3) + 3y = 3

6 + 3y = 3 ( subtract 6 from both sides )

3y = - 3 ( divide both sides by 3 )

y = - 1

Solution is (3, - 1 )

Answer 2

9x = 27
x = 3
y = -1
The answer is (3, -1)