Use the linear combination method to solve the system of equations. explain each step of the solution. -3x+7y=-16. -9x+5y=16.

solution is (x, y ) → (- 4, - 4 )

- 3x + 7y = - 16 → (1)

- 9x + 5y = 16 → (2)

multiply all terms in ( 1) by - 3. This will make the x-terms cancel out in the next step

9x - 21y = 48 → (3)

add (2) and (3) term by term to eliminate x

(- 9x + 9x ) + (5y - 21y ) = (16 + 48)

- 16y = 64 ( divide both sides by - 16 )

y = - 4

substitute y = - 4 into (1) or (2) and solve for x

(2) → - 9x - 20 = 16 ( add 20 to both sides )

- 9x = 36 ( divide both sides by - 9 )

x = - 4

solution is (x, y) → (- 4, - 4)

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves