3x + 4y = -2
x-6y = -8
3 x -6 + 4 x 1 = -2
-2 - 6 x 1 = -8
the answer -2,1
x = 6y - 8
3x + 4y = -2
3(6y - 8) + 4y = -2
Solve last equation for y. Insert into first equation to find x. Put both into the second equation to check.
To solve the system of equations:
1. First, let's identify the variables in the system. In this case, we have two variables, x and y.
2. The system of equations is:
3x + 4y = -2 ---(Equation 1)
x - 6y = -8 ---(Equation 2)
3. There are various ways to solve this system, but let's use the method of substitution for this example.
Start by solving Equation 2 for x:
x = -8 + 6y ---(Equation 3)
4. Now, substitute Equation 3 into Equation 1:
3(-8 + 6y) + 4y = -2
5. Simplify the equation:
-24 + 18y + 4y = -2
6. Combine like terms:
22y - 24 = -2
7. Add 24 to both sides of the equation:
22y = 22
8. Divide both sides of the equation by 22:
y = 1
9. Substitute the value of y back into Equation 3 to find x:
x = -8 + 6(1)
x = -8 + 6
x = -2
10. Therefore, the solution to the system of equations is x = -2 and y = 1.