Question

solve 5x+3y=8 and 8x-5y=3​

Answer 1

Answer:

Both the values of x and y are equal to 1.

Step-by-step explanation:

Given

Equations are

$5x+3y=8....eq. 1$

$8x-5y=3.....eq. 2$

To solve the equation and find the value of x and y

Solution:

Using substitution method

$Let's find the value of x, first\\\\From eq. 1\\\\5x+3y=8\\\ \\or, 5x=8-3y\\\\x=\frac{8-3y}{5}$

Putting the value of x in eq. 2

$8(\frac{8-3y}{5}) -5y=3\\\\or, \frac{64-24y}{5} -5y=3\\\\or,\frac{ 64-24y-25y}{5} =3\\\\or, 64-49y=15\\\\or, 49y=64-15\\\\y=1\\\\Putting the value of y in eq.1\\\\\\x=\frac{8-3y}{5} \\\\=\frac{8-3x1}{5} \\\\=\frac{8-3}{5} \\\\\=\frac{5}{5} \\\\x=1$

$x=\frac{8-3y}{5}\\\\x=\frac{8-3x1}{5} \\\\x=\frac{5}{5} \\\\x=1$

Hence, the equations are solved and the value of x equals 1 and y is also equal to 1.

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