Question

Create an equivalent system of equations using the sum of the system and the first equation. x 4y = 8 4x y = 2 x 4y = 8 5x y = 2 x 4y = 8 5x 5y = 2 x 4y = 8 4x 5y = 10 x 4y = 8 5x 5y = 10

Answer 1

An equivalent system of equations using the sum of the system and the first equation is:

$x+4y=8\\5x+5y=10$

What are equations?

• In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.
• $3x+5=14$, for example, is an equation in which $3x+5$ and $14$ are two expressions separated by a '=' sign.

Given:

$x+4y=8\\4x+y=2$

Add the above equations to get:
$x+4y+4x+y=8+2\\x+4y+4x+y=10\\5x+5y=10$

Therefore, an equivalent system of equations using the sum of the system and the first equation is:

$x+4y=8\\5x+5y=10$

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The correct question is given below:
Create an equivalent system of equations using the sum of the system and the first equation.

x + 4y = 8

4x + y = 2

x + 4y = 8

5x + y = 2

x + 4y = 8

5x + 5y = 2

x + 4y = 8

4x + 5y = 10

x + 4y = 8

5x + 5y = 10