Question

solve th equation 2m-3/5=m+4/5​

Answer 1

Step-by-step explanation:

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Answer 2

Given:

The equation:

$\sf{\dfrac{2m - 3}{5}=\dfrac{m + 4}{5}}$

What To Find:

We have to find the value of m.

Solution:

$\sf{\dfrac{2m - 3}{5}=\dfrac{m + 4}{5}}$

Use cross multiplication,

5(2m - 3) = 5(m + 4)

Solve the brackets,

10m - 15 = 5m + 20

Take 5m to LHS and 15 to RHS,

10m - 5m = 20 + 15

Solve the both sides,

5m = 35

Take 5 to RHS,

m = 35/5

Divide 35 by 5,

m = 7

Hence, the value of m is 7.

Verification:

$\sf{\dfrac{2m - 3}{5}=\dfrac{m + 4}{5}}$

Substitute the value,

$\sf{\dfrac{2(7) - 3}{5}=\dfrac{7 + 4}{5}}$

Solve the numerator,

$\sf{\dfrac{11}{5}=\dfrac{11}{5}}$

LHS = RHS

Hence, verified.