Solve the system of equation , i would greatly appreciate it

Your answer is going to be D. (10, -1)

Step-by-step explanation:

Starting off the equation you want to get rid of either x or y ( I did x first)

Take x+3y=7 and multiply the entire equation by -2 -- -2(x+3y=7)

You get -2x-6y=-14 and then add the two equations together

-2x-6y=-14

2x-4y=24  -- You get -10y = 10

y = -1

You can take the -1 and plug it back into either equation.. ( I did x+3y=7)

x+3(-1)=7 -- x-3=7 -- Add the 3 to get the 10 ( x = 10 )

So you have x = 10 & y = -1

(10,-1)

x = 10; y = -1

(10, -1)

D is your answer.

Step-by-step explanation:

To solve this system of equations, the first step is to to solve for a variable in each equation. I will solve for x in the first one and y in the second.

Part 1: Get x by itself in the first equation

x + 3y = 7

x + 3y - 3y = 7 - 3y

x = 7 - 3y

Part 2: Get y by itself in the second equation

2x - 4y = 24

-4y + 2x - 2x = 24 - 2x

-4y / -4 = (24 - 2x) / -4

y = -6 + 1/2x

New system of equations:

{x = 7 - 3y

{y = -6 + 1/2x

Part 3: Solve for x using substitution

x = 7 - 3(-6 + 1/2x)

x = 7 + 18 - 3/2x

x = 25 - 3/2x

x + 3/2x = 25 - 3/2x + 3/2x

5/2x = 25

(5/2x)(2/5) = 25(2/5)

x = 10

Part 4: Solve for y using substitution

y = -6 + 1/2(10)

y = -6 + 5

y = -1

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.