Question

5*x+y-15=0 x-2*y-14=0

Answer 1

1)5*x+y-15=0
5х=-у+15
х=-1/5у+3

2)x-2*y-14=0
х=2у+14

Answer 2

To solve the system of equations:

1. 5x + y - 15 = 0
2. x - 2y - 14 = 0

We can use either the substitution method or the elimination method. Let's use the elimination method:

Step 1: Eliminate one variable by multiplying the equations to make the coefficients of either x or y equal:

Multiply equation (1) by 2: 2(5x + y - 15) = 2(0) => 10x + 2y - 30 = 0

Now the equations are:

1. 10x + 2y - 30 = 0
2. x - 2y - 14 = 0

Step 2: Add the two equations to eliminate the y variable: (10x + 2y - 30) + (x - 2y - 14) = 0 + 0

Simplify the equation: 11x - 44 = 0

Step 3: Solve for x: 11x = 44 x = 44 / 11 x = 4

Step 4: Substitute the value of x back into either equation (let's use equation 1):

5x + y - 15 = 0 5(4) + y - 15 = 0 20 + y - 15 = 0 y + 5 = 0 y = -5

So, the solution to the system of equations is x = 4 and y = -5.