Final answer:
To solve the given system algebraically, we substitute the y-value into the second equation and solve for x. In this case, x equals 11.
Step-by-step explanation:
To solve the system algebraically, we will substitute the y-value from the first equation into the second equation.
Given y = 3 - x and 3x + 4y = 1, we substitute 3 - x for y in the second equation: 3x + 4(3 - x) = 1.
By simplifying the equation, we can solve for x: 3x + 12 - 4x = 1. Combining like terms, we get -x + 12 = 1. Solving for x, we have x = 11. Therefore, the value of x is 11.
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