Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair 2x+y= 10

y=x-5
(a) (5,0)
(b) (7,2)
(c) (9,-8)
(d) (8,-6)​

Answer 1

a (5,0)

Explanation:

2x + y = 10 substitute y= x - 5 into that first equation

2x+(x-5)=10

2x+x-5=10

3x - 5 = 10

3x = 10 + 5

3x = 15

`(3x)/(3) = (15)/(3)`

x=5

substitute the x into either the first or second equation

2(5) +y=10

10 + y = 10

y= 10 - 10

y = 0

therefore

x = 5 and y= 0