Question

what is the solution to this system of linear equations? 2x 3y = 3 7x – 3y = 24 a.(2, 7) b.(3, –21) c.(3, –1) d.(9, 0)

Answer 1

The Correct Answer Is (3,-1)

Answer 2

Answer:

The solution is the option C

$(3,-1)$

Step-by-step explanation:

we have

$2x+3y=3$ -----> equation A

$7x-3y=24$ -----> equation B

Adds equation A and equation B

$2x+3y=3\\7x-3y=24\\---------\\2x+7x=3+24\\9x=27\\x=3$

Find the value of y

$2(3)+3y=3$

$6+3y=3$

Subtract $6$ both sides

$3y=3-6$

$3y=-3$

Divide by $3$ both sides

$y=-1$

The solution is the point  $(3,-1)$