Question

Solve the following linear equation. Click Here for Help Video



4x+18+6x+14=−784x+18+6x+14=-784x+18+6x+14=−78

Answer 1

Solve the following linear equation. Click Here for Help Video



2y+8−2y=82y+8-2y=82y+8−2y=8

Answer 2

To solve the equation \( 4x + 18 + 6x + 14 = -78 \), we can start by simplifying the left side.

1. Combine like terms:
\[
4x + 6x + 18 + 14 = (4x + 6x) + (18 + 14) = 10x + 32
\]
So the equation becomes:
\[
10x + 32 = -78
\]

2. Next, isolate \( 10x \) by subtracting 32 from both sides:
\[
10x = -78 - 32
\]
\[
10x = -110
\]

3. Finally, divide by 10 to solve for \( x \):
\[
x = \frac{-110}{10} = -11
\]

Thus, the solution to the equation is:
\[
\boxed{-11}
\]

Answer 3

To solve the equation \( 2y + 8 - 2y = 8 \), we can start by simplifying the left side.

1. Combine like terms:
\[
2y - 2y + 8 = 8
\]
This simplifies to:
\[
8 = 8
\]

Since \( 8 = 8 \) is a true statement and does not depend on the value of \( y \), it tells us that the equation is true for all values of \( y \).

Hence, the solution is that \( y \) can be any real number. In terms of set notation, we can say:
\[
y \in \mathbb{R}
\]

So, the equation has infinitely many solutions.