3.
What is the solution to the linear system below?
y = 4x + 11
x + 2y = 6
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Answer:
x = -16/9 and y = 35/9
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