Solve the following system of equations
3x - 2y =5
-2x - 3y = 14
2 answers:
Answer:
The solution is:

Step-by-step explanation:
We have the following equations


To solve the system multiply by
the second equation and add it to the first equation



---------------------------------------



Now substitute the value of y in any of the two equations and solve for x





The solution is:

Answer:
x = -1 and y = -4
Step-by-step explanation:
It is given that,
3x - 2y = 5 ----(1)
-2x - 3y = 14 ------(2)
<u>To find the solution of equations</u>
(1) * 2 ⇒
6x - 4y = 10 -----(3)
(2) * 3 ⇒
-6x - 9y = 42 ----(4)
eq(3) + eq(4) ⇒
6x - 4y = 10 -----(3)
<u>-6x - 9y = 42 </u> ----(4)
0 - 13y = 52
y = 52/(-13) = -4
Substitute the value of y in eq(1)
3x - 2y = 5 ----(1)
3x - (2 * -4) = 5
3x +8 = 5
3x = 5 - 8 = -3
x = -3/3 = -1
Therefore x = -1 and y = -4
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