5x+3y=-11, 7x-2y=19 solve by elimination.

Sol'n:
5x+3y = -11 ---(1)x 2, 10x + 6y = -22 ----(1')
7x-2y = 19 ---(2)x 3, 21x - 6y = 57 ----(2')
add 1' and 2'
31x = 55, divide by 31 on both side to obtain the value of x,
x = 35/31
then find y: from (2)
7(35/31) - 19 = 2y
2y = -344/31, then divide by 2 on both side to obtain the value of y.
y = -172/31
thus
x = 35/31 and y = -172/31 <----- answer
How do you get -344/31 in this problem?

the steps are correct.

from
7x-2y=19
7x - 19 = 2y
7(35/31) - 19 = 2u
245/31 - 589/31 = 2y
-344/31 = 2y
-172/31 = y

how did you get -589?

19/1 = ?/31

Thank you so much I have been working on this problem 308 times and can not figure this out

344.80 spebds of it 3/4

To find the value of y, you need to solve the equation 7(35/31) - 19 = 2y.

First, multiply 7 and 35/31:
7 * (35/31) = 245/31

Next, subtract 19:
245/31 - 19 = 245/31 - (19 * 31/31)
= 245/31 - 589/31
= (245 - 589)/31
= -344/31

Therefore, in this problem, the value of y is -344/31.