Question

Match each system of linear equations to the solution. (5, 3)(-10, 4)(-10, 3)(5, 5) 2x + 4y = -8 3x + 5y = -15 1.5x - 3.6y = -10.5 2x - 4.2y = -11?

Answer 1

To match each system of linear equations to its solution, we must solve the equations simultaneously and check which of the provided points matches the solution for each system.

Step-by-step explanation:

The student's question involves matching each system of linear equations to its solution from the provided options of (5, 3), (-10, 4), (-10, 3), (5, 5). The two systems of linear equations provided are:

• 2x + 4y = -8
• 3x + 5y = -15

To find which point is the solution for each system, we need to solve them simultaneously. Let's solve the first system as an example:

1. Isolate one of the variables from one of the equations, for example, from the first equation, let's solve for y: y = -2 - 0.5x.
2. Substitute this expression for y in the second equation and solve for x.
3. Once we have x, plug it back into the first equation to find y.
4. Check which of the provided points matches this solution.

This process should be repeated for the second system, which comprises the equations 1.5x - 3.6y = -10.5 and 2x - 4.2y = -11.