Question

What is the solution of the system?

Use the elimination method.
-4x + y = -6
18x – 2y = 14
The only solution is (0, - 3/2)
The only solution is (0,– 6).

There is an infinite number of solutions.
There is no solution.

Answer 1

The only solution is (0.2,-5.2)

Explanation:

we have

`-4x + y=-6` ----> equation A

`18x-2y=14` ----> equation B

Solve the system by elimination

Multiply the equation A by 2 both sides

`2(-4x + y)=2(-6)`

`-8x + 2y=-12` -----> equation C

Adds equation C and equation B

`-8x + 2y=-12\\18x-2y=14\\-------\\-8x+18x=-12+14\\10x=2\\x=0.2`

Find the value of y

substitute the value of x in any of the equations

`-4(0.2) + y=-6`

`y=-6+0.8`

`y=-5.2`

The only solution is (0.2,-5.2)