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Solve the system algebraically. y = 3 -1/2 x 3x + 4y = 1 What is the value of x?

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Answer:
x=-11

Explanation:

You can use the Method of substitution.

Substitute the equation
y=3-(1)/(2)x into the equation
3x + 4y = 1 and then you must solve for the variable x:


3x + 4y = 1\\\\3x + 4(3-(1)/(2)x) = 1\\

Apply Distributive property:


3x + 12-(4)/(2)x = 1\\3x+12-2x=1

Subtract 12 from both sides of the equation and then add the like terms. Then you get:


3x+12-2x-12=1-12\\3x-2x=-11\\x=-11

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