Question

Q. 1 Frame any five questions based on Linear Equation with the one variable and solve it.


answer fast for this Q for maths class 8 ​

Answer 1

Answer:

Answer in the picture

Step-by-step explanation:

Hope it helps you

Answer 2

Answer:

Step-by-step explanation:

Concept:

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

In economics, the linear function is common. It is appealing because it is straightforward and manageable mathematically. It has a lot of crucial applications.

The graph of a linear function is a straight line.

The following is the format of a linear function.

$a + bx = y = f(x)$

One independent variable and one dependent variable make up a linear function. $X$ and $Y$ are the independent and dependent variables, respectively.

The constant term $a$, also known as the y intercept. When $x = 0$, it represents the value of the dependent variable.

$B$ is the independent variable's coefficient. It provides the dependent variable's rate of change and is also referred to as the slope.

1. Solve the equation $2x+3=8$

$2x+3=8$

$2x=8-3$

$2x=5$

$x=5/2.$

2.Solve  the equation: $5x - 9 = -3x + 19$

$5x - 9 +3x = 19$

⇒ $8x -9 = 19$

⇒ $8x = 19 + 9$

⇒ $8x = 28$

Divide the equation with 8 on both sides

⇒ $8x/8 = 28/8$

⇒ $x = 28/8$

The equation$5x - 9 = -3x + 19$ will fulfil the equality and provide the necessary answer if we swap $x = 28/8,$ resulting in $9 = 9.$

3. Solve for $x, 2x - 4 = 0$

Add $4$ on each side

$2x - 4 + 4 = 0 + 4$

$2x = 4$

Divide each side by $2$, and we have

$2x/2 = 4/2$

$x = 4/2 = 2$

$x = 2$

4. Solve $12m -10 = 6$

$12m - 10 = 6$

Add $10$ on each side

$12m - 10 + 10 = 6 + 10$

$12m = 16$

Divide each side by $12,$ and we have

$12m/12 = 16/12$

$m = 16/12 = 4/3$

$m = 4/3$

5.An isosceles triangle has legs that are $4$ metres longer than its base. Determine the triangle's side lengths if the triangle's perimeter is $44$ metres.

Let's assume the base is $'x'$ metres in length. As a result, the length of each leg is $y = (x + 4)$ metres.

The total of the three sides makes up a triangle's perimeter.

The following is how the equations are created and solved:

$x + 2(x + 4) = 44$

$x + 2x + 8 = 44$

$3x + 8 = 44$

$3x = 44 – 8 = 36$

$3x = 36$

$x = 36/3$

$x = 12$

The solution yields a base length of $12$ metres. Consequently, each of the two legs is $16$ metres long.

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