Question

class 8 composite maths solution by sk.gupta , anubhuti gangal​

Answer 1

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Answer 2

Answer:

This equation's answer is $-9.18$

Explanation:

$\frac{0.4 z-3}{1.5 z+9}=\frac{7}{5}$

When we cross multiply, we obtain

$\begin{aligned}& \Rightarrow 5(0.4 z-3)=7(1.5 z+9) \\& \Rightarrow 2.0 z-15=10.5 z+63\end{aligned}$

Transposing $10.5 z$ to LHS and $-15$ to RHS we get,

$\begin{aligned}& \Rightarrow 2.0 z-10.5 z=63+15 \\& \Rightarrow-8.5 z=78\end{aligned}$

$\begin{aligned}& \Rightarrow z=\frac{78}{-8.5} \\& \Rightarrow z=-\frac{78}{\frac{85}{10}} \\& \Rightarrow z=-\frac{78 \times 10}{85} \\& \Rightarrow z=-9.18\end{aligned}$

Thus, this equation's answer is $-9.18$.

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

Comparative example

An equation is comparable to a balance, scale, or seesaw.

The balance's two sides are represented by either side of the equation. Varying amounts can be placed on either side of the scale, and if the weights on the two sides are equal, the scale will balance, just as the equality that symbolises the balance will be balanced (if not, then the lack of balance corresponds to an inequality represented by an inequation).

In the figure, x, y, and z are three separate variables (in this example, real numbers) that are each represented as a circular weight and have a distinct weight. Subtraction equates to taking weight away from what already exists, and addition corresponds to adding weight. The total weight on each side is the same when equality holds.

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