High School

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Given the following equations, solve for the variables [tex] x [/tex] and [tex] y [/tex]:

1. [tex] 2x - 2.1 = 7.5 [/tex]

2. [tex] 4.2 + y = 7.5 [/tex]

3. [tex] y - 4.2 = 7.5 [/tex]

4. [tex] 2.1 + 2x = 7.5 [/tex]

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].

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Rewritten by : Jeany

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