Question

Solve each system of the equation by elimination. y=-4x+14y=10x-28

Answer 1

Step-by-step explanation:

The elimination method consists in substracting one equation from the other, so you eliminate one of the variables and you have only one equation to solve for one variable.

In this case, y has the same coefficient in both equations, so this is the variable we will eliminate.

Substract the first equation from the second:

`\begin{gathered} y=10x-28 \\ - \\ y=-4x+14 \\ \text{ ---------------------} \\ y-y=10x+4x-28-14 \\ 0=14x-42 \end{gathered}`

And solve for x:

`\begin{gathered} 14x=42 \\ x=(42)/(14) \\ x=3 \end{gathered}`

Now, we replace x = 3 into one of the equations and solve for y:

`y=-4\cdot3+14=-12+14=2`

Answer:

• x = 3

,

• y = 2