Question

What is the solution to the system of equations?

y = A system of equations. y equals StartFraction one-third EndFraction minus 10. 2 x plus y equals 4.x – 10

2x + y = 4

(–8, 6)
(–6, 16)
(6, –8)
(16, –6)

Answer 1

Explanation:

(6,-8)

Answer 2

Answer : The solution to the system of equations is, (6, -8)

Step-by-step explanation :

As we are given the two equations:

`y=(1)/(3)x-10` ............(1)

`2x+y=4` ..........(2)

Now put equation 1 in equation 2, we get:

`2x+y=4`

`2x+((1)/(3)x-10)=4`

`2x+(1)/(3)x-10=4`

`(7)/(3)x-10=4`

`(7)/(3)x=4+10`

`(7)/(3)x=14`

`x=14* (3)/(7)`

`x=6`

Now put the value of 'x' in equation 1, we get:

`y=(1)/(3)x-10`

`y=((1)/(3)* 6)-10`

`y=2-10`

`y=-8`

Thus, the solution to the system of equations is, (6, -8)