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Find the solution of the system of equations. -5a - 5y = -30 10x + 3y = -3

User Vinu K S
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5 votes

Answer:

To find the solution of the system of equations, you can use the method of substitution or elimination. I'll use the elimination method here.

Here are the equations:

1. -5a - 5y = -30

2. 10x + 3y = -3

First, let's multiply both sides of the second equation (2) by 5 to make the coefficients of y in both equations cancel when summed:

1. -5a - 5y = -30

2. 50x + 15y = -15

Now, we can add equation (1) and equation (2) to eliminate y:

(-5a - 5y) + (50x + 15y) = (-30) + (-15)

Simplify:

-5a + 50x + 10y = -45

Now, let's solve this equation for y:

10y = -45 - 5a + 50x

10y = -5a + 50x - 45

y = (-5a + 50x - 45) / 10

y = -0.5a + 5x - 4.5

So, the solution to the system of equations is:

x = 5x - 4.5

y = -0.5a + 5x - 4.5

User Sadri
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