Question

2y = x + 3

5y = x - 7

What is the solution set of the given system?


{(-1/3, -4/3)}
{(1/3, 4/3)}
{(-29/3, -10/3)}
{(29/3, 10/3)}

Answer 1

5x + 2y = 7---(1)
y = x + 1---(2)
Substitute y from (2) into (1)
You get 5x + 2(x+1) = 7
5x + 2x + 2 = 7
7x = 5
x = 5/7
Substituting the value of x in (2)
y = 5/7 + 1 = 12/7

Answer 2

2y+-x=3
5y-x=-7
So the third option is correct. You can use elimination, substitution, or the amtrix on your calculator to solve.

{(-29/3, -10/3)}

Answer 3

2x - y - 4 = 0

3x + y - 9 = 0

What is the solution set of the given system?


{(6/5, 13/5)}
{(13/5, 6/5)}
{(5, 6)}
{(6, 5)}

Answer 4

{(13/5, 6/5)}

Answer 5

What is the result of adding the system of equations?

2x + y = 4

3x - y = 6


x= 2
x= 10
5x= 10