Solve the System of Linear Equations

What is the solution to the system of linear equations provided below? The solution to the system of linear equations is (-5,6).

Introduction to Solving Systems of Linear Equations

Linear equations are algebraic expressions that represent straight lines on a graph. When we have a system of linear equations, we are dealing with multiple linear equations simultaneously. To solve a system of linear equations, we can use different methods such as substitution, elimination, or graphing.

Using Elimination to Solve the System of Linear Equations

In the given system of equations:

-3x - 5y = -15

-3x - 3y = -3

We can use the elimination method to solve the system. By adding the two equations together, we can eliminate the variable x:

-3x - 5y = -15

-3x - 3y = -3

--------------------

-8y = -18

y = 6

Substitute the value of y back into one of the equations to solve for x:

-3x - 5(6) = -15

-3x - 30 = -15

-3x = 15

x = -5

Therefore, the solution to the system of linear equations is (-5,6). This means that the point of intersection for the two lines represented by the equations is at x = -5 and y = 6.

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