Increasing order of the x-values that make them true are,
- 5x - 3x = 10
- 2(2x - 1) = 46
- 6x - 15 = 75
- x + (x - 10) = 26
How to arrange the equations in increasing order of the x-values?
Solve each equations,
5x - 3x = 10
Simplifying the equation, we get
2x = 10
(Divide by 2)
x = 10/2
x = 5
2(2x - 1) = 46
Divide both sides by 2
[tex]\frac{2(2 x-1)}{2}=\frac{46}{2}[/tex]
Simplify
[tex]$2 x-1=23$[/tex]
Add 1 to both sides
[tex]$2 x-1+1=23+1$[/tex]
Simplifying the equation, we get
[tex]$2 x=24$[/tex]
Divide both sides by 2
[tex]\frac{2 x}{2}=\frac{24}{2}[/tex]
Simplify
[tex]$x=12$[/tex]
6x - 15 = 75
Add 15 to both sides
[tex]$6 x-15+15=75+15$[/tex]
Simplifying the equation, we get
[tex]$6x=90$[/tex]
Divide both sides by 6
[tex]\frac{6 x}{6}=\frac{90}{6}[/tex]
Simplify
[tex]$x=15$[/tex]
x + x - 10 =26
Add similar elements:
x + x = 2x
[tex]$2 x-10=26$[/tex]
Add 10 to both sides
[tex]$2 x-10+10=26+10$[/tex]
Simplifying the equation, we get
[tex]$2 x=36$[/tex]
Divide both sides by 2
[tex]\frac{2 x}{2}=\frac{36}{2}[/tex]
Simplify
x = 18
Hence,
Increasing order of the x-values that make them true are,
- 5x - 3x = 10
- 2(2x - 1) = 46
- 6x - 15 = 75
- x + (x - 10) = 26
To learn more about Equations in increasing order refer to:
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