# What is the answer in this equation 2x+y=-5. 2x+3y=9

2
by chesca1
The system has one solution = (3/2, 2). The pair of linear equation has different slopes. The lines are intersecting. The system is consistent and independent. Unfortunately, my solution can not be posted in this comment box. Try to solve it by substitution method. Your x and y values should be 3/2 and 2, respectively.
Sorry, I realized it's 2x + y = -5 (not +5). The system has one solution (6, -17). the rest of the characteristics of the system is the same.
Sorry, typo error (-6,7). Check the solution to the same problem posted here.
that is final :-)

• Brainly User
2015-10-23T22:43:55+08:00
Equation A:  2x + y = -5 ⇒  y = -2x - 5

Equation B:  2x + 3y = 9
2x + 3 (-2x - 5) = 9
2x - 6x - 15 = 9
-4x = 9 + 15
-4x/4 = 24/-4
x = -6

Substitute -6 for x in any of the two equations:
2x + y = -5
2 (-6) + y = -5
-12 + y = -5
y = -5 + 12
y = 7

The solution is (-6, 7)

To check:
2(-6) + 7 = -5
-12 + 7 = -5
-5 = -5

2x + 3y = 9
2(-6) + 3 (7) = 9
-12 + 21 = 9
9 = 9

2015-10-24T10:41:35+08:00