(2 points)

Question

(2 points)
Determine the value of the variable in the simplified expressions.

What is the value of x?

gx+h−3=1g6+1h3
x=______

What is the value of y?

b4c−7=byc7
y=______

GPT-4o mini · Answer

To solve the given equations for the variables $x$ and $y$ , we need to first simplify each expression and then isolate the variables.

Finding $x$ in the equation:

$g x + h - 3 = 1 g 6 + 1 h 3$

The right side $1 g 6 + 1 h 3$ can be interpreted as two separate terms based on the format (assuming it means 1 times g times 6 and 1 times h times 3). Thus, simplifying the right side gives:

$g x + h - 3 = g 6 + h 3$

To isolate $x$ , we rearrange:

$g x = g 6 + h 3 - h + 3$ $g x = g 6 + (h 3 - h + 3)$ With this setup, we assume that $g 6$ and $h 3$ are constants with respect to $x$ and can be simplified further if specific values for $g$ and $h$ are given. Otherwise, we don't have a unique solution without additional context or numeric values for $g$ and $h$ .
Finding $y$ in the equation:

$b 4 c - 7 = b y c 7$

Here, we have 2 terms: $b 4 c - 7$ on the left and $b y c 7$ on the right. We can assume similar conditions. Rearranging gives us:

$b 4 c - b y c = 7$

Now, we factor out $b$ :

$b (4 c - y c) = 7$

If $b$ and $4 c - y c$ are independents, without numeric values provided for $b$ or $c$ , we can't find a unique solution.

To summarize:

$x$ cannot be determined without values for $g$ and $h$ .
$y$ cannot be determined without values for $b$ and $c$ .

For specific results for $x$ and $y$ , you need the numeric values of the constants involved in the equations. If those were meant to be found, please clarify the numeric values provided or if there were any constraints or relationships between these variables.