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5 votes
2y - 5x = -2
3y + 2x = 35

User Feedy
by
6.4k points

1 Answer

4 votes

Answer:

x=4,y=9

Explanation:

We want to solve the equation:


2y - 5x = - 2


3y + 2x = 35

simultaneously.

Multiply the top equation by 3 and the bottom equation by 2 to get:

6y-15x=-6

6y+4x=70

Subtract the top equation from the bottom equation.


4x - - 15x = 70 - - 6


19x = 76


x = (76)/(19)


x = 4

We substitute x=4 into 2y-5x=-2 to get:


2y - 5(4) = - 2


2y = - 2 + 20 = 18


y = (18)/(2) = 9

Therefore the solution to the system is

(4,9)

User Bildsoe
by
6.7k points