Question

Solve.

{y=3x−7
15x−5y=14

Use the substitution method.




The solution is (15, 5).

The solution is (0, 7).

There is no solution.

There are an infinite number of solutions.

Answer 1

There are an infinite number of solution

Answer 2

we are given

system of equations as

`y=3x-7`

`15x-5y=14`

We can use substitution method

We can plug value of y into other equation

and we get

`15x-5(3x-7)=14`

now, we can simplify it

`15x-5*3x-7*-5=14`

`15x-15x+35=14`

`0+35=14`

`35=14`

We know that

35 can never be equal to 14

so, this does not satisfies it's equality itself

so, there is no solution...........Answer