Question

Solve the system. x−5y=5 2x−9y=7

Answer 1

Answer: x= -10 ; y= -3

Explain: set x= 5 + 5y
=> 2x - 9y =7
<=> 2.(5+5y) -9y= 7
<=> 10 + 10y - 9y= 7
<=> y= -3

Replace y= -3 => x= 5+5y
<=> x= -10

To test you can replace x,y in the original system.‍♀️

Answer 2

x = 10 | y = -3

Step-by-step explanation:

2x−9y=7

x−5y=5

Solve by elimination

2x−9y=7

2x−10y=10

y = -3

x-5(-3) = 5

x = 10