Question

What is the solution to the system of equations? y = A system of equations. Y equals StartFraction one-third EndFraction minus 10. 2 x plus y equals 4.X – 10 2x + y = 4

Answer 1

Answer:

$(6,-8)$.

Step-by-step explanation:

We have been given a system of equations. We are asked to solve the given system.

$y=\frac{1}{3}x-10...(1)$

$2x+y=4...(2)$

From equation (2), we will get:

$y=4-2x...(2)$

Upon substituting this value in equation (1), we will get:

$4-2x=\frac{1}{3}x-10$

Upon multiply by 3 on both side, we will get:

$3\cdot 4-3\cdot 2x=3\cdot \frac{1}{3}x-3\cdot 10$

$12-6x=x-30$

$12-6x-x=x-x-30$

$12-7x=-30$

$12-12-7x=-30-12$

$-7x=-42$

$\frac{-7x}{-7}=\frac{-42}{-7}$

$x=6$

Upon substituting this in equation (2), we will get:

$y=4-2(6)$

$y=4-12$

$y=-8$

Therefore, the solution for our given system of equations is $(6,-8)$.

Answer 2

Answer:

A

Step-by-step explanation: