To solve for \(\( a \)\) to the nearest tenth in the equation \(\( 4a + 7x = 10 \)\), follow these steps:
1. Identify the given equation:
The equation provided is \(\( 4a + 7x = 10 \)\).
2. Assign a value to \(\( x \)\):
For simplicity, let’s assume \(\( x = 1 \)\).
3. Substitute \(\( x \)\) into the equation:
Substitute \(\( x = 1 \)\) into the equation:
\(\[
4a + 7(1) = 10
\]\)
4. Simplify the equation:
Simplify the terms inside the equation:
\(\[
4a + 7 = 10
\]\)
5. Isolate \(\( a \)\):
Subtract 7 from both sides of the equation to isolate the term with \(\( a \)\):
\(\[
4a = 10 - 7
\]\)
\(\[
4a = 3
\]\)
6. Solve for \(\( a \)\):
Divide both sides by 4 to solve for \(\( a \)\):
\(\[
a = \frac{3}{4}
\]\)
\(\[
a = 0.75
\]\)
7. Round to the nearest tenth:
Round \(\( 0.75 \)\) to the nearest tenth:
\(\[
0.75 \approx 0.8
\]\)
Therefore, the solution for \(\( a \)\) to the nearest tenth is \(\( 0.8 \)\).
