Question

T Ticket; ROR ANALYSIS: scribe and correct the error in solving for 8x + 2y = -12
5x - y = 4​

Answer 1

To solve the system of equations 8x + 2y = -12 and 5x - y = 4, we can use the method of substitution. By solving the second equation for y and substituting that into the first equation, we can find the values of x and y. The solution to the system is x = -2/9 and y = -38/9.

Step-by-step explanation:

The given system of equations is:

8x + 2y = -12

5x - y = 4

To solve this system, we can use the method of substitution. We solve one equation for one variable and then substitute that expression into the other equation.

1. Solve the second equation for y: y = 5x - 4.
2. Substitute this expression for y into the first equation: 8x + 2(5x - 4) = -12.
3. Simplify and solve for x: 18x - 8 = -12.
4. Find the value of x: x = -4/18 = -2/9.
5. Substitute the value of x back into either of the original equations to find the value of y. Using the second equation: 5(-2/9) - y = 4. Simplifying this equation gives: y = -38/9.
6. Therefore, the solution to the system of equations is x = -2/9 and y = -38/9.