Explain: what is the solution to this system of equations?

2x+y=20
6x-5y=12

solution set is (x,y) = (7,6)

Step-by-step explanation:

solving by substitution method

2x +y=201

6x-5y=122

from equation 1, solve for y

2x+y=20

y= 20-2xequation 3

adding value of y in equation 2

6x-5y=12

6x-5(20-2x)=12

6x-100+10x=12

16x= 12+100

16x= 112

x= 112/16

x=7

adding value of x in equation 3

y= 20-2x

y= 20- 2(7)

y=20-14

y=6

so solution set (x,y) = (7,6)

honesty mood

step-by-step explanation:

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.