Question

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

Answer 1

Answer: $x=-11$

Step-by-step explanation:

You can use the Method of substitution.

Substitute the equation $y=3-\frac{1}{2}x$ into the equation $3x + 4y = 1$ and then you must solve for the variable x:

$3x + 4y = 1\\\\3x + 4(3-\frac{1}{2}x) = 1$

Apply Distributive property:

$3x + 12-\frac{4}{2}x = 1\\3x+12-2x=1$

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

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