Math

Questionก. แก้สมการ 2x+3=122 x+3=12 ฝ. แก้สมการ 2x3=112 x-3=11

Studdy Solution

STEP 1

Assumptions1. The equations are linear equations in one variable, x. . The equations are independent and can be solved separately.

STEP 2

Let's start with the first equation 2x+=122x + =12. The goal is to isolate xx on one side of the equation. We can do this by first subtracting $$ from both sides of the equation.
2x+=122x + - =12 -

STEP 3

implify the equation.
2x=1232x =12 -3

STEP 4

Calculate the right side of the equation.
2x=92x =9

STEP 5

Now, to isolate xx, we divide both sides of the equation by 22.
2x2=92\frac{2x}{2} = \frac{9}{2}

STEP 6

implify the equation to find the value of xx.
x=92=4.5x = \frac{9}{2} =4.5

STEP 7

Now, let's solve the second equation 2x3=112x -3 =11. Again, the goal is to isolate xx. We can do this by first adding 33 to both sides of the equation.
2x3+3=11+32x -3 +3 =11 +3

STEP 8

implify the equation.
2x=11+32x =11 +3

STEP 9

Calculate the right side of the equation.
2x=142x =14

STEP 10

Now, to isolate xx, we divide both sides of the equation by 22.
2x2=142\frac{2x}{2} = \frac{14}{2}

STEP 11

implify the equation to find the value of xx.
x=14=7x = \frac{14}{} =7So, the solutions to the equations are x=4.5x =4.5 and x=7x =7.

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