Question

Use the linear combination method to solve this system of equations. What is the value of x? Negative 2.4 x minus 3.6 y = 1.2. 2.4 x + 1.2 y = 1.2. Negative 1 0 1 -4.8

Answer 1

Answer:

x=1/4

y=1/2

Step-by-step explanation:

Given:

-2.4x+3.6y=1.2

2.4x + 1.2y=1.2

-2.4x+3.6y=1.2

Divide through by 1.2

-2x+3y=1

2.4x + 1.2y=1.2

Divide through by 1.2

2x+y=1

-2x+3y=1 (1)

2x+y=1 (2)

From 2

y=1-2x

Substitute y=1-2x into (1)

-2x+3y=1

-2x+3(1-2x)=1

-2x+3-6x=1

-8x=1-3

-8x=-2

Divide both sides by -8

x=1/4

Substitute x=1/4 into (2)

2x+y=1

2(1/4)+y=1

2/4+y=1

1/2+y=1

y=1-1/2

y=1/2

x=1/4

y=1/2