Question

Solve by the elimination method. Show your work 2x – 5y = 1 3x – 4y = -2

Answer 1

Answer:

$\boxed{x = -2~~and~~y = -1}$

Step-by-step explanation:

2x - 5y = 1   (times 3) 6x - 15y = 3

3x - 4y = -2 (times 2) 6x - 8y = -4

.

6x - 15y = 3

6x - 8y = -4    

-7y = 7

$y = \frac{7}{-7}$

y = -1

.

Substitute the value of y to one of equations

2x - 5y = 1

2x - 5(-1) = 1

2x + 5 = 1

2x = 1 - 5

2x = -4

$x = \frac{-4}{2}$

x = -2