Question

1. tv = 10x - 26 and vx = 5x + 9. what is the value of x? -7 35 7 -17

Explanation:

Step1: Set the two expressions equal

Since in the triangle, if we assume some equal - length relationship (not shown in the problem - but likely an isosceles - like situation where $TV = VX$), we set up the equation $10x - 26=5x + 9$.

Step2: Move the $x$ terms to one side

Subtract $5x$ from both sides: $10x-5x - 26=5x-5x + 9$, which simplifies to $5x-26 = 9$.

Step3: Move the constant to the other side

Add 26 to both sides: $5x-26 + 26=9 + 26$, resulting in $5x=35$.

Step4: Solve for $x$

Divide both sides by 5: $\frac{5x}{5}=\frac{35}{5}$, so $x = 7$.

Answer:

$7$