Enter the solution (x, y) to the system of equations shown.
y = -6
y = 4x + 12
Enter the solution (x, y) to the system of equations shown. y = -6 y = 4x + 12
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Enter the solution (x, y) to the system of equations shown.
y = -6
y = 4x + 12
To solve the system of equations:
1. Identify the equations:
– Equation 1: ( y = -6 )
– Equation 2: ( y = 4x + 12 )
2. Substitute the value of y:
Since both equations are equal to ( y ), we can set them equal to each other:
[
-6 = 4x + 12
]
3. Solve for x:
– Subtract 12 from both sides:
[
-6 – 12 = 4x
]
[
-18 = 4x
]
– Divide by 4:
[
x = -frac{18}{4} = -frac{9}{2} = -4.5
]
4. Substituting x back to find y:
Since ( y = -6 ) is given, we don’t need to substitute ( x ) again into the second equation.
5. Solution:
The solution to the system of equations is ( (x, y) = left(-frac{9}{2}, -6right) ) or ( (-4.5, -6) ).
Feel free to ask if you need more help or further explanations!