Question

(0,75x + y + 1 = 0,1,3x - 0,65 y = 0.​

Answer 1

y=-0,75x-1

1,3x-0.65y=0

1,3x-0,65(-0,75x-1)=0

x=-4/11

y=-0,75x•(-4/11)-1

y=-8/11

(-4/11;-8/11)

Answer 2

To solve the system of equations:

1. 0.75x + y + 1 = 0
2. 1.3x - 0.65y = 0

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

Step 1: Eliminate the y variable. To do this, we'll multiply both sides of equation 1 by 0.65 to make the coefficients of y in both equations equal:

0.65 * (0.75x + y + 1) = 0.65 * 0

Simplifying:

0.4875x + 0.65y + 0.65 = 0

Now, our two equations are:

1. 0.4875x + 0.65y + 0.65 = 0
2. 1.3x - 0.65y = 0

Step 2: Add the two equations to eliminate the y variable.

(0.4875x + 0.65y + 0.65) + (1.3x - 0.65y) = 0

Simplifying:

0.4875x + 1.3x + 0.65 = 0

Combine the x terms:

1.7875x + 0.65 = 0

Step 3: Isolate x.

Subtract 0.65 from both sides:

1.7875x = -0.65

Now, divide by 1.7875:

x = -0.65 / 1.7875 ≈ -0.364

Step 4: Find y using the value of x.

Use equation 1 to find y:

0.75x + y + 1 = 0

Substitute the value of x:

0.75 * (-0.364) + y + 1 = 0

Simplify:

-0.273 + y + 1 = 0

Combine constants:

y + 0.727 = 0

Now, isolate y:

y = -0.727

So the solution to the system of equations is x ≈ -0.364 and y = -0.727.