Question

Solve the following system of equations: y - 3x = - 3 , -2x-4y=26

Answer 1

The solution to the system of equations y - 3x = -3 and -2x - 4y = 26 is found using the substitution method, resulting in x = -1 and y = -6.

Step-by-step explanation:

To solve the system of equations y - 3x = -3 and -2x - 4y = 26, we can use the substitution method or the elimination method. I will demonstrate the substitution method:

1. Solve the first equation for y: y = 3x - 3.
2. Substitute the expression for y into the second equation: -2x - 4(3x - 3) = 26.
3. Expand and simplify the equation: -2x - 12x + 12 = 26, which simplifies to -14x + 12 = 26.
4. Solve for x: -14x = 26 - 12, which simplifies to -14x = 14. Thus, x = -1.
5. Now substitute x back into the first equation to find y: y = 3(-1) - 3, which simplifies to y = -3 - 3, therefore y = -6.

The solution to the system of equations is x = -1 and y = -6.