Solve the following systems of equations by elimination, if a solution exists.

 

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

A. The solution to the system is x=⬜, y=⬜ (Type integers or simplified fractions.)

B. There are infinitely many solutions.

C. There is no solution.

 

Solve the system using elimination.

 

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 by -2 then add the equations together,

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

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

add

Now solve this new equation for y.

 

 

 

Find both a unit vector u with the samedirection as a and a unit vectorv with the direction opposite that ofa.

a =7i-24j

Please show all steps!

(A)Section 1.2 talks about modeling with equations. Our everyday livesare filled with models and applications of mathematics. Give anexample where you had to APPLY a formula or math principles tosolve a situation in real life. Such as using a formula or workingout an equation. Describe the problem and work it out

Section 1.3 talks about modeling with quadratic equations.Create a unique, real-world word problem that models either, (1)the area of a rectangle, (2) distance, speed, & time, or (3)the path of a projectile.

Describe your problem and work out the quadratic equation youfind

EXE

(B) An equationinvolving a rational power is given. Find all solutions of theequation 1-10.

1. x^3/ 2 =27 2.x^2/3 = 4

3. x^2/5 ?16 =0 4.x^5/ 2 + 32 = 0

5.32x^5/3 +1 =0 6.64x^3/ 4 ?125 = 0

7. (x? 2)^1/5 =?2 8.(2x ?3)^2/3 = 4

9. 5(x+3)^2/3 -45=0 10.(x-3)^3/4 +1/8 = 0

(C)Section 2.4 dealswith lines and slopes. Give an example where the concept of slopeis used in real life. Describe the increase/decrease in the contextof the example and why it is important in the real world.

(D )Section 3.2 dealswith lines and slopes. Give an example where the concept of slopeis used in real life. Describe the increase/decrease in the contextof the example and why it is important in the realworld