Solve the system of linear equations by graphing. y=2x+9 y=6-x

x = - 1

y = 7

Step-by-step explanation:

to solve this system of linear equation using substitution methods

we would say that let

y=2x+9 ... equation 1

y=6-x ... equation 2

substitute equation 1 into equation2

2x + 9 = 6 - x

combine the like terms

2x + x = 6 - 9

3x = - 3

divide both sides by the coefficient of x which is 3

3x/3 = - 3/3

x = - 1

put the value of x = - 1 into equation 1

y=2x+9 ... equation 1

y = 2 (-1) + 9

y = - 2 + 9

y = 7