Question

What is the solution to the system of equations below? y=-1/3x+9 and y=2/3x-12

Answer 1

Answer:

The correct answer option is (21, 2).

Step-by-step explanation:

We are given the following two equations and we are to find the solution to this system of equations:

$y=-\frac{1}{3} x+9$ --- (1)

$y=\frac{2}{3} x-12$ --- (2)

Since the left hand side of the both the equation is equal so we can equate the right hand sides of these equations equal to each other.

$-\frac{1}{3} x+9 = \frac{2}{3} x-12$

$\frac{2}{3} x+\frac{1}{3} x = 9+12$

x = 21

Substituting this value of x in (2) to find y:

$y=\frac{2}{3} (21) - 12$

y = 2

Answer 2

Answer:

The correct answer is first option (21, 2)

Step-by-step explanation:

The given two equations are,

y=-1/3x+9 and y=2/3x-12

To find the solution

Two equations are

y=-1/3x+9    -------(1)

y=2/3x-12    -------- (2)

(2) - (1) ⇒ 0 = 3/3x + (-12 - 9)

⇒0 = x - 21

x = 21

Substitute value of x in eq(1) we get,

y = -1/3 * 21 + 9 = -7 + 9 = 2

Therefore the solution is (21, 2)

The correct answer is first option