Question

How can I find x and y for this problem with steps, please:

Answer 1

The value of x and y in the given system of equation is 3.70 and 2.50 respectively.

What is a system of equations?

A system of equations is a finite set of equations that can either be solved by using a substitution method or the elimination method.

From the given information:

$\mathbf{x^2 + y^2 = 20}$    ---- (1)

$\mathbf{5^x + 4^y = 400}$  ---- (2)

From equation (1), let's make (x) the subject of the formula and substitute the value of x into equation (2) to solve for y.

i.e.

$\mathbf{x^2 + y^2 = 20}$

$\mathbf{x^2 = 20- y^2}$

$\mathbf{x = \sqrt{20- y^2}}$ ---- (3)

Now, replace the value of x in equation (2), we have:

$\mathbf{5^{ \sqrt{20- y^2}} + 4^y = 400}}$

solving for y;

y ≅ 2.50

Replacing the value of y in equation (3) to solve for (x), the value of x is:

$\mathbf{x = \sqrt{20- 2.50^2}}$

x = 3.70

Learn more about the systems of equations here:

brainly.com/question/847634

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