Answer :
To solve these equations, we need to find the missing number that, when added to the given number, equals the result.
Step by step, here's how to solve each equation:
Equation a: [tex]35 + x = 83[/tex]
We want to find what value of [tex]x[/tex] makes this equation true. To do that, subtract 35 from both sides:
[tex]x = 83 - 35[/tex]
[tex]x = 48[/tex]
So, the solution is [tex]x = 48[/tex].Equation b: [tex]123 + x = 284[/tex]
Similarly, subtract 123 from both sides:
[tex]x = 284 - 123[/tex]
[tex]x = 161[/tex]
Thus, the solution is [tex]x = 161[/tex].Equation c: [tex]373 + x = 504[/tex]
Subtract 373 from both sides:
[tex]x = 504 - 373[/tex]
[tex]x = 131[/tex]
The solution is [tex]x = 131[/tex].Equation d: [tex]x + 40 = 84[/tex]
Subtract 40 from both sides:
[tex]x = 84 - 40[/tex]
[tex]x = 44[/tex]
So, [tex]x = 44[/tex] is the solution.Equation e: [tex]x + 109 = 156[/tex]
Subtract 109 from both sides:
[tex]x = 156 - 109[/tex]
[tex]x = 47[/tex]
Thus, [tex]x = 47[/tex] is the solution.Equation f: [tex]x + 442 = 607[/tex]
Subtract 442 from both sides to find the solution:
[tex]x = 607 - 442[/tex]
[tex]x = 165[/tex]
Hence, the solution for this equation is [tex]x = 165[/tex].
By following these steps systematically for each equation, you can find the missing values that solve them. This approach ensures you solve for [tex]x[/tex] by isolating it on one side of the equation.
