Answer :
Let's solve these equations step by step:
a) For the equation [tex]\(x + 7 = 3\)[/tex]:
1. To isolate [tex]\(x\)[/tex], we need to get rid of the 7 on the left side. We do this by subtracting 7 from both sides of the equation.
2. This gives us:
[tex]\[
x + 7 - 7 = 3 - 7
\][/tex]
3. Simplifying both sides, we get:
[tex]\[
x = -4
\][/tex]
So, the solution for part (a) is [tex]\(x = -4\)[/tex].
d) For the equation [tex]\(16 - x = -4\)[/tex]:
1. We want to solve for [tex]\(x\)[/tex], so first, we need to get terms involving [tex]\(x\)[/tex] on one side and constants on the other. Let's add [tex]\(x\)[/tex] to both sides to move it over to the right:
[tex]\[
16 = x - 4
\][/tex]
2. Now, to isolate [tex]\(x\)[/tex], we add 4 to both sides to cancel out [tex]\(-4\)[/tex] on the right:
[tex]\[
16 + 4 = x
\][/tex]
3. This simplifies to:
[tex]\[
20 = x
\][/tex]
So, the solution for part (d) is [tex]\(x = 20\)[/tex].
In summary:
- The solution to part (a) is [tex]\(x = -4\)[/tex].
- The solution to part (d) is [tex]\(x = 20\)[/tex].
a) For the equation [tex]\(x + 7 = 3\)[/tex]:
1. To isolate [tex]\(x\)[/tex], we need to get rid of the 7 on the left side. We do this by subtracting 7 from both sides of the equation.
2. This gives us:
[tex]\[
x + 7 - 7 = 3 - 7
\][/tex]
3. Simplifying both sides, we get:
[tex]\[
x = -4
\][/tex]
So, the solution for part (a) is [tex]\(x = -4\)[/tex].
d) For the equation [tex]\(16 - x = -4\)[/tex]:
1. We want to solve for [tex]\(x\)[/tex], so first, we need to get terms involving [tex]\(x\)[/tex] on one side and constants on the other. Let's add [tex]\(x\)[/tex] to both sides to move it over to the right:
[tex]\[
16 = x - 4
\][/tex]
2. Now, to isolate [tex]\(x\)[/tex], we add 4 to both sides to cancel out [tex]\(-4\)[/tex] on the right:
[tex]\[
16 + 4 = x
\][/tex]
3. This simplifies to:
[tex]\[
20 = x
\][/tex]
So, the solution for part (d) is [tex]\(x = 20\)[/tex].
In summary:
- The solution to part (a) is [tex]\(x = -4\)[/tex].
- The solution to part (d) is [tex]\(x = 20\)[/tex].
