Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 16, 2023

Find $x$ given $x+y=8$ and $x-y=6$ . Options: $-1, 1, 7, -7$

STEP 1

Assumptions1. The system of equations is $x+y=8$ and $x-y=6$ . We are solving for the variable $x$

STEP 2

To solve for $x$ , we can add the two equations together. This will eliminate the $y$ variable.
$x+y+x-y=8+6$

STEP 3

implify the left side of the equation by combining like terms.
$2x=8+6$

STEP 4

implify the right side of the equation by adding the numbers together.
$2x=14$

STEP 5

To isolate $x$ , we can divide both sides of the equation by2.
$x=14/2$

STEP 6

Calculate the value of $x$ .
$x=14/2=$ The value of $x$ is.

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