Solution for the linear equations 2x+3y=-5 and 6x-5y= 27 is

To solve the system of linear equations 2x + 3y = -5 and 6x - 5y = 27, we can use the method of substitution or elimination.

Step 1: Solve one equation for one variable in terms of the other variable. Let's solve the first equation for x: 2x + 3y = -5 2x = -3y - 5 x = (-3y - 5)/2

Step 2: Substitute the expression for x into the second equation: 6x - 5y = 27 6((-3y - 5)/2) - 5y = 27 -9y - 15 - 5y = 27 -14y - 15 = 27

Step 3: Simplify and solve for y: -14y = 27 + 15 -14y = 42 y = 42/(-14) y = -3

Step 4: Substitute the value of y back into the expression for x: x = (-3(-3) - 5)/2 x = (9 - 5)/2 x = 4/2 x = 2

Therefore, the solution to the system of linear equations 2x + 3y = -5 and 6x - 5y = 27 is x = 2 and y = -3.