Question

Solve the system of equations using the substitution method (pic)

x=
y=​

Answer 1

(-2,3)

Explanation:

Answer 2

Answer: x= -2 and y= 3

Explanation:

The given system of linear equations :

`4x+5y=7--------------(1)\\\\ y=3x+9-----------------(2)`

By using Substitution method , we substitute the value of y from (2) in (1) , we get

`4x+5(3x+9)=7`

`\Rightarrow\ 4x+15x+45=7`

`\Rightarrow\ 19x=7-45`

`\Rightarrow\ 19x=-38`

`\Rightarrow\ x=-2` [Divide both sides by 2]

Now , put the value of x in (2) , we get

`y=3(-2)+9=-6+9=3`

∴ x= -2 and y= 3 .