Question

Choose the equation that has a solution to 4

a
2x+6=10

b
2x-2=10

c
4x=-16

Answer 1

To determine which equation has a solution of \( x = 4 \), we can substitute \( x = 4 \) into each equation and see if it holds true.

**Equation a:** \( 2x + 6 = 10 \)

Substituting \( x = 4 \):
\[
2(4) + 6 = 8 + 6 = 14 \quad \text{(not equal to 10)}
\]

**Equation b:** \( 2x - 2 = 10 \)

Substituting \( x = 4 \):
\[
2(4) - 2 = 8 - 2 = 6 \quad \text{(not equal to 10)}
\]

**Equation c:** \( 4x = -16 \)

Substituting \( x = 4 \):
\[
4(4) = 16 \quad \text{(not equal to -16)}
\]

None of the equations above are correct when \( x = 4 \). Let's check the correct solutions for the equations instead:

**Equation a:** \( 2x + 6 = 10 \)
\[
2x = 10 - 6 \\
2x = 4 \\
x = 2 \quad \text{(solution is 2)}
\]

**Equation b:** \( 2x - 2 = 10 \)
\[
2x = 10 + 2 \\
2x = 12 \\
x = 6 \quad \text{(solution is 6)}
\]

**Equation c:** \( 4x = -16 \)
\[
x = \frac{-16}{4} = -4 \quad \text{(solution is -4)}
\]

To conclude, none of the equations provided yield \( x = 4 \) as a solution. Please verify the original equations if you need an equation that indeed has \( x = 4 \) as its solution.