asked 162k views
4 votes
Solve the sytem below using elimination
2x - 4y = 10
X + 5y = 40

asked
User Kendal
by
7.7k points

1 Answer

4 votes

Add -2 (second equation) to the first equation to eliminate x :

(2x - 4y) + (-2) (x + 5y) = 10 + (-2) • 40

(2x - 4y) + (-2x - 10y) = 10 - 80

-14y = -70

y = 5

Plug this into either equation (I'll use the second) to solve for x :

x + 5y = 40

x + 5 • 5 = 40

x + 25 = 40

x = 15

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