Question

How many solutions does this system have? y = 3 x minus 5. y = negative x + 4. one two an infinite number no solution

Answer 1

1

Explanation:

Answer 2

One

Explanation:

It is given that,

y = 3x-5 ....(1)

y = -x+4 .....(2)

We can solve the above equations using substitution method. Put the value of y from equation (1) to equation (2) such that,

`3x-5 = -x+4\\\\3x+x = 5+4\\\\4x = 9\\\\x=(9)/(4)`

Put the value of x in equation (1) we get :

`y = 3x-5\\\\y = 3* (9)/(4)-5\\\\y=(7)/(4)`

It means that the value of x is
`(9)/(4)` and the value of y is
`(7)/(4)`. Hence, the given equations has only one solution.