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15 votes
15 votes
Solve the system of equations.
−5y+3x=3
−8y+9x=−12

User RoarG
by
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1 Answer

20 votes
20 votes

Answer:

The solution to the system of equations is x = 9/12 and y = 27/60.

Explanation:

To solve a system of equations, we can use elimination or substitution. In this case, we can use elimination by adding the equations together. When we add the two equations, the y-terms will cancel out, leaving us with an equation in terms of x only.

First, let's add the equations:

-5y + 3x = 3

-8y + 9x = -12

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-13y + 12x = -9

Then, we can divide both sides of the equation by -13 to get the value of x:

(-13y + 12x) / -13 = (-9) / -13

12x = 9

x = 9/12

Since we know the value of x, we can substitute it back into either of the original equations to find the value of y:

-5y + 3(9/12) = 3

-5y + 27/12 = 3

-5y = -27/12

y = 27/60

Therefore, the solution to the system of equations is x = 9/12 and y = 27/60.

User Zmische
by
2.6k points