Question

3.
What is the solution to the linear system below?
y = 4x + 11
x + 2y = 6

Answer 1

x = -16/9 and y = 35/9

Step-by-step explanation:

Problem:

Solve y=4x+11;x+2y=6

Steps:

I will solve your system by substitution.

y=4x+11;x+2y=6

Step: Solve y=4x+11 for y:

Step: Substitute 4x+11 for y in x+2y=6:

x+2y=6

x+2(4x+11)=6

9x+22=6(Simplify both sides of the equation)

9x+22+−22=6+−22(Add -22 to both sides)

9x=−16

9x/9 = -16/9 (Divide both sides by 9)

x -16/9

Step: Substitute -16/9 for x in y=4x+11:

y=4x+11

y = 4(-16/9) +11

y = 35/9 (Simplify both sides of the equation)

Answer:

x = -16/9 and y = 35/9