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

User Kemar
by
8.3k points

2 Answers

5 votes

Answer:

1

Explanation:

User Jerome VDL
by
8.1k points
5 votes

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.

User Yousi
by
7.0k points

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