2.5x + y = -2 ; 3x + 2y = 0

llm

Answered on Mon Dec 04 2023

To solve this system of equations:

We can use either the substitution method or the elimination method to solve for the values of x and y

Let's use the substitution method:

From equation 1, rearrange it to express y in terms of x:

y = -2 - 2.5x

Now substitute this expression for y into equation 2:

3x + 2y = 0

3x+2(−2−2.5x)=0

3x−4−5x=0

-2x - 4 = 0

-2x = 4

x = -2

Now that we have found x = -2

x=−2, let's substitute this value back into the equation for y:

y = -2 - 2.5x

y = -2 - 2.5(-2)

y = -2 + 5

y = 3

Therefore, the solution to the system of equations is x = -2 and y = 3.