Question

A system of linear equations is shown.

4x + 2y = 24
8x+2y=30
Complete the statements.
To solve the system of equations by eliminating the values, multiply the first equation by [Drop Down 1].
To solve the system of equations by eliminating the y values, multiply the first equation by [Drop Down 2].
Drop Down 1
Select a Value
Drop Down 2
Select a Value

Answer 1

To eliminate the y values in the system of equations, multiply the first equation by [1]. To eliminate the x values, multiply the first equation by [-2].

Step-by-step explanation:

To solve the given system of linear equations by elimination, we want to eliminate one variable so that we can solve for the other. The equations given are:

• 4x + 2y = 24
• 8x + 2y = 30

Looking at the equations, the y coefficients are already equal, so to eliminate the y-values, we do not need to multiply the first equation by any number; hence, for the y values, multiply the first equation by [1].

To use elimination for the x values, we can multiply the first equation by a number that will create a coefficient for x that is opposite in the second equation. The second equation has 8x, and the first has 4x. If we multiply the first equation by [-2], we'll get a -8x which will allow us to eliminate the x terms when we add the equations together.

So, to solve the system by eliminating the x values, multiply the first equation by [-2]. To solve the system by eliminating the y values, multiply the first equation by [1].