Question

Find the solution to the system of equations. You can use the interactive graph below to find the solution. { y = x − 4 y = 4 x + 2 ⎩ ⎪ ⎨ ⎪ ⎧ ​ y=x−4 y=4x+2 ​ x = x=x, equals

Answer 1

Answer with explanation:

The given system of equation are:

1----  y= x -4

2----- y=4 x+2

Equation (1) - Equation (2)

→0= x -4 - (4 x+2)

→0=  -3 x -6-----[Adding and subtracting like terms]

Adding 3 x on both sides

→3 x= -6

Dividing by 3 on both sides

→x = -2

→Substituting the value of x in equation 1, we get

y= -2 -4

y =-6

→Solution set =(x,y)=(-2, -6)

Don't used the graph to find the solution.

Answer 2

ANSWER

$x=-2,y=-6$

EXPLANATION

First equation:

$y = x - 4$

Second equation:

$y = 4x + 2$

Let us equate the two equations and solve for x.

This implies that;

$4x + 2 = x - 4$

Group similar terms to obtain:

$4x - x = - 4 - 2$

Simplify:

$3x = - 6$

Divide both sides by 3

$x = - 2$

Put x=-2 into any of the equations.

I will put x=-2 into the first equation:

$y = - 2 - 4$

This implies that,

$y = - 6$