Question

If x and y are real numbers such that 2x + 3y = 9 and 3x - 2y = 6 what is the value of x (round up to the nearest whole number)?

a. 3
b. 0
c. 4
d. 5

Answer 1

To find the value of x in the given system of equations, we can use the method of substitution. Rounding up to the nearest whole number, x = 3.

Step-by-step explanation:

To find the value of x in the given system of equations, we can use the method of substitution. We will solve one equation for y and substitute it into the other equation.

Starting with the first equation, 2x + 3y = 9, we can solve it for y:

3y = -2x + 9

y = (-2/3)x + 3

Now we substitute this expression for y into the second equation, 3x - 2y = 6:

3x - 2((-2/3)x + 3) = 6

3x + (4/3)x - 6 = 6

(13/3)x = 12

x = (12/13) * 3

x = 36/13

Rounding up to the nearest whole number, x = 3.