Answer :
To solve the given equations for [tex]\( x \)[/tex] and [tex]\( y \)[/tex], follow these steps:
1. Solve for [tex]\( x \)[/tex]:
Start with the equation:
[tex]\[
2x - 2.1 = 7.5
\][/tex]
Step 1: Add 2.1 to both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
2x = 7.5 + 2.1
\][/tex]
Simplify the right side:
[tex]\[
2x = 9.6
\][/tex]
Step 2: Divide both sides of the equation by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{9.6}{2} = 4.8
\][/tex]
2. Solve for [tex]\( y \)[/tex]:
Use the equation:
[tex]\[
4.2 + y = 7.5
\][/tex]
Step 1: Subtract 4.2 from both sides to solve for [tex]\( y \)[/tex]:
[tex]\[
y = 7.5 - 4.2
\][/tex]
Simplify the right side:
[tex]\[
y = 3.3
\][/tex]
Therefore, the solutions are [tex]\( x = 4.8 \)[/tex] and [tex]\( y = 3.3 \)[/tex].
1. Solve for [tex]\( x \)[/tex]:
Start with the equation:
[tex]\[
2x - 2.1 = 7.5
\][/tex]
Step 1: Add 2.1 to both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
2x = 7.5 + 2.1
\][/tex]
Simplify the right side:
[tex]\[
2x = 9.6
\][/tex]
Step 2: Divide both sides of the equation by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{9.6}{2} = 4.8
\][/tex]
2. Solve for [tex]\( y \)[/tex]:
Use the equation:
[tex]\[
4.2 + y = 7.5
\][/tex]
Step 1: Subtract 4.2 from both sides to solve for [tex]\( y \)[/tex]:
[tex]\[
y = 7.5 - 4.2
\][/tex]
Simplify the right side:
[tex]\[
y = 3.3
\][/tex]
Therefore, the solutions are [tex]\( x = 4.8 \)[/tex] and [tex]\( y = 3.3 \)[/tex].
