Question

Solve the following systems of equations without graphing 5x + 10y = 30 -5x +15y = 20

Answer 1

Answer:

(2, 2)

Step-by-step explanation:

In this case, elimination would be the most efficient means of solving.

Simply, add the two equations, and you will be left with only one variable to solve for. (In this case y) You are then able to take your solution and plug it into an equation and solve for x, therefore giving you their intercept.\

5x + 10y = 30

+

-5x + 15y = 20

(x's cancel) 25y = 50

25y = 50

y = 2

5x + 10(2) = 30

5x + 20 = 30

5x = 10

x = 2

The solution to this equation is (2, 2)