Question

Which ordered pair is a solution for 2x+5y=-11
10x+3y=11

Answer 1

X = 2 and Y = -3

Explanation:

2x+5y=-11 - equation 1

10x+3y=11 - equation 2

from equation 1, 2X = -11 - 5y

X = -11/2 - 5Y/2

X = -5.5 - 2.5Y

insert X = -5.5 - 2.5Y into equation 2

therefore, 10x+3y=11

10(-5.5 - 2.5Y) + 3y = 11

-55 -25Y +3Y = 11

-22Y = 11+55

Y = -66/22

Y = -3

insert Y = -3 into equation 1

thus 2x + 5(-3) = -11

2x - 15 = -11

2x = -11 + 15

2x = 4

x = 4/2

x = 2

ordered pair: X = 2 and Y = -3