Question

2х + y = 11 4х — Зу = -3 What is the solution to this system of equations?

Answer 1

Answer:

The answer is x=3 and y=5

Step-by-step explanation:

Step: Solve 2x+y = 11 for y

2x+y=11

2x+y+−2x=11+−2x (Add -2x to both sides)

y=−2x+11

Step: Substitute −2x+11 for y in 4x−3y = −3

4x−3y = −3

4x−3(−2x+11) = −3

10x−33 = −3 (Simplify both sides of the equation)

10x−33+33 = −3+33 (Add 33 to both sides)

10x=30

$\frac{10x}{10}$  = $\frac{30}{10}$  (Divide both sides by 10)

x=3

Step: Substitute 3 for x in y = −2x+11

y=−2x+11

y=(−2)(3)+11

y=5 (Simplify both sides of the equation)

Answer:

x=3 and y=5