Complete the sentence based on the equation shown below.

Question

14, x, plus, 70, equals, h, of, 2, x, plus, 10
14x+70=
h(2x+10)
Answer
Attempt 1 out of 2

This equation will have one solution when h, equalsh=
because you get one solution when you have
number of x's on either side of the equation and
.

Answer 1

This equation will have one solution when \( h = 1 \) because you get one solution when you have an equal number of \( x \)'s on either side of the equation and the constants balance out.

The left-hand side of the equation can be expressed as \( 14x + 70 \) while the right-hand side can be expressed as \( h(2x + 10) \). For there to be one solution, the coefficients of \( x \) must match when \( h = 1 \), giving us \( 14x = 2x + 10 \), which simplifies to a single \( x \) solution if the constants also balance out (70 and 10).