Question

What is the solution to the system of equations?

y = x – 10

2x + y = 4

(–8, 6)
(–6, 16)
(6, –8)
(16, –6)

Answer 1

y = x - 10
2x + y = 4

2x + y = 4
2x + (x - 10) = 4
2x + x - 10 = 4
3x - 10 = 4
+ 10 + 10
3x = 14
3 3
x = 4²/₃

y = x - 10
y = 4²/₃ - 10
y = -5¹/₃
(x, y) = (4²/₃, -5¹/₃)

Answer 2

The solution of the system of equations is (4.66,-5.33).

Explanation:

Given : System of equations
`y=x-10` and
`2x+y=4`

To find : What is the solution to the system of equations?

Solution :

To solve the system of equation we apply substitution method.

Let
`y=x-10` ......(1)

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

Now, substitute y from (1) in (2)

`2x+y=4`

`2x+(x-10)=4`

`3x=14`

`x=(14)/(3)`

`x=4.66`

Substitute
`x=(14)/(3)` in (1)

`y=x-10`

`y=(14)/(3)-10`

`y=(14-30)/(3)`

`y=(-16)/(3)`

`y=-5.33`

So, The intersection points of both the equation is (4.66,-5.33).

Therefore, The solution of the system of equations is (4.66,-5.33).