Find solution to the system of linear equations. x1 + 2x2 = 0 , 2x1 + 5x2 = 1

x₁ = -2, x₂ = 1

Step-by-step explanation:

We have the following system of linear equations.

x₁ + 2x₂ = 0

2x₁ + 5x₂ = 1

We will multiply the first equation by 2 and then subtract it from the second equation.

2x₁ + 4x₂ = 0

2x₁ + 5x₂ - (2x₁ + 4x₂) = 1 - 0

2x₁ + 5x₂ - 2x₁ - 4x₂) = 1

x₂ = 1

We can replace this value in the first equation.

x₁ + 2x₂ = 0

x₁ + 2 × 1 = 0

x₁ = -2

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.