Question

8 what is the value of x in the solution to the system of equations below?
6x + 3y = 13
3x - y = 4
f 1
g \\(\frac{5}{3}\\)
h \\(\frac{8}{3}\\)
j \\(\frac{7}{3}\\)

Explanation:

Step1: Isolate y from second equation

From $3x - y = 4$, rearrange to get $y = 3x - 4$.

Step2: Substitute y into first equation

Substitute $y = 3x - 4$ into $6x + 3y = 13$:
$$6x + 3(3x - 4) = 13$$

Step3: Expand and simplify the equation

$$6x + 9x - 12 = 13$$
$$15x - 12 = 13$$

Step4: Solve for x

$$15x = 13 + 12$$
$$15x = 25$$
$$x = \frac{25}{15} = \frac{5}{3}$$

Answer:

G. $\frac{5}{3}$