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

Question

asked Jun 10, 2021 128k views

2 Answers

Yousi · Answer 1 · 2021-06-14T10:46:29+0000

Answer:

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.