Question

What is the solution to this system of linear equations?

2%. + 3y = 3
7x-3y = 24
O (
27)
(3,-21)
O (3-1)
19.0

Answer 1

(3,-1)

Explanation:

2x + 3y = 3 -----------(I)

7x - 3y = 24 ----------(II)

Add equation (I) & (II) and y will be eliminated and we can find the value of 'x'

(I) 2x + 3y = 3

(II) 7x - 3y = 24 {Add}

9x = 27 {Divide both sides by 9}

x = 27/9

x = 3

Plugin x = 3 in equation (I)

2*3 + 3y = 3

6 + 3y = 3

Subtract 6 from both sides

3y = 3 - 6

3y = -3

Divide both sides by 3

y = -3/3

y = -1