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

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720