Question

Find the value of x in the solution to the system of equations shown.

Answer 1

To solve this system of equations, the easiest method to use is substitution. Both of our equations are already in terms of y (set equal to y), so we can substitute in the equivalent x values to create an equation with only one variable.

y = 14x - 6

y = -4x + 48

-4x + 48 = 14x - 6

To simplify, we are going to add 4x and add 6 to both sides of the equation to get all of the constant terms on one side of the equation and all of the variable terms on the other. We are also going to simplify by combining like terms.

-4x + 4x + 48 + 6 = 14x + 4x - 6 + 6

48 + 6 = 14x + 4x

54 = 18x

Finally, we must divide both sides of the equation by 18 because division is the inverse operation of multiplication, which allows us to cancel out the coefficient of 18.

54/18 = 18x/18

3 = x

Therefore, your answer is B. x = 3.

Hope this helps!