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.

Respuesta :

There are an infinite number of solution

we are given

system of equations as

[tex] y=3x-7 [/tex]

[tex] 15x-5y=14 [/tex]

We can use substitution method

We can plug value of y into other equation

and we get

[tex] 15x-5(3x-7)=14 [/tex]

now, we can simplify it

[tex] 15x-5*3x-7*-5=14 [/tex]

[tex] 15x-15x+35=14 [/tex]

[tex] 0+35=14 [/tex]

[tex] 35=14 [/tex]

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