Question

Use substitution to determine the solution of the system of equations. Write the solution as an ordered pair.x + 2y = 14y = 3x – 14solution =

Answer 1

the first step:

we will rewrite the second equation to look like the first one

y=3x-14

lets subtract 3x from both sides

y-3x=-14

-3x+y=-14

our system of equations will look like

x+2y=14

-3x+y=-14

however, for a substitution method we can use:

x+2(3x-14)=14

i multiply 2 with the parenthesis

x+6x-28=14

7x=28+14

7x=42, x=42/7=6

x=6

y=3x-14

y=(3x6)-14=18-14=4

solution= 6,4