Solve the below system of equations using the linear combination method.    show all your work, explaining each step in solving the system using the linear combination method.

2x + 3y = 1

y = -2x - 9

pls

The solution to given system of equations is x = -7 and y = 5

Solution:

Given that, we have to solve the system of equations by linear combination method

Given system of equations are:

2x + 3y = 1 eqn 1

y = -2x - 9 eqn 2

We can use substitution method to solve the system of equations

Substitute eqn 2 in eqn 1

2x + 3(-2x - 9) = 1

Add the terms inside the bracket with constant outside the bracket

2x -6x - 27 = 1

Combine the like terms

-4x = 1 + 27

-4x = 28

Divide both sides of equation by -4

Substitute x = -7 in eqn 2

y = -2(-7) - 9

Simplify the above equation

y = 14 - 9

Thus solution to given system of equations is x = -7 and y = 5

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )