Question

I need help please!

What is the solution to the following system of equations?

5x-3y=34
x-2y=4

infinite solutions
no solution
24/13 , 14/13
(8, 2)

Answer 1

x−2y=4;5x−3y=34Step: Solvex−2y=4for x:x−2y+2y=4+2y(Add 2y to both sides)x=2y+4Step: Substitute2y+4forxin5x−3y=34:5x−3y=345(2y+4)−3y=347y+20=34(Simplify both sides of the equation)7y+20+−20=34+−20(Add -20 to both sides)7y=147y7=147(Divide both sides by 7)y=2Step: Substitute2foryinx=2y+4:x=2y+4x=(2)(2)+4x=8(Simplify both sides of the equation)

Answer 2

(8,2)

Explanation:

We are given equations:

5x-3y=34 (1)

x-2y=4 (2)

On multiplying second equation by 5, we get

5x-10y=20 (3)

On subtracting equation (1) by (3), we get

7y= 14

⇒ y=2

Putting y=2 in equation (2)

x-2×2=4

⇒ x= 8

Hence, correct option is:

(8,2)