Question

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

Answer 1

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`