studentkakraaLv1

21 Aug 2022

Look at the example! please.

Solve the system using elimination.

 

 

Select the correct choice below and fill in any answer boxes in your choice.

A. The solution is ___. (Type an ordered pair.)

B. There are infinitely many solutions.

C. There is no solution.

 

View an example I All parts showing

Solve the sythem wing ehifinanon.

 

 

 

We can eliminate x or y. Let's eliminate x. Consider the terms in x in each equation, that is, x and 2x. To eliminate x, we can multiply each term of the first equation to -2 then add the equations together.

The first equation, x + 5y = 7, becomes after multiplying it by -2, -2x - 10y = -14.

Because the coefficients of x in the two equations differ only in sign, add the two equations, eliminating the x-terms.

 

 

 

 

Now solve the nerw equation for y

-4y = -8 

y = 2

 

Finally, back-substitute 2 for y into one of the original equations to find x. We will use the first equation

x + 5y = 7            Ths is the first equation in for given system

x + 5 [2] = 7        Subtract 2 for y

x + 10 = 7            Multiply 

x = -3                   Subtract 1/0 from both sides. 

 

Using x = -3 and y = 2, we write the solution as an ordered pair (-3, 2)

Thus, x = -3 and y = 2. The proposed solution, (-3, 2), can be shown to satisfy both equations in the system. Consequently, the solution is (-3, 2)