Question

Examine the system of equations. −5x 5y = 40 4x 3y = 24 What is the solution? ( , ).

Answer 1

The solution of the equation is x = 0 and y = 8.

Given

The system of equation is;

$\rm -5x + 5y = 40\\\\4x + 3y = 24$

How to find the solution to a system of equations?

Any system of equations can be solved in different methods. To solve a system of equations in 2 variables, we need at least 2 equations following all the steps given below.

From equation 1

$\rm -5x+5y=40\\\\5y=40+5x\\\\y = \dfrac{40+5x}{5}\\\\y = 8+x$

Substitute the value of y in equation 2

$\rm 4x+3y=24\\\\4x+3(8+x)=24\\\\4x+24+3x=24\\\\7x=24-24\\\\7x=0\\\\x=0$

Substitute x = 0 in the equation 1

$\rm -5x+5y=40\\\\-5(0)+5y=40\\\\5y=40\\\\y=\dfrac{40}{5}\\\\y=8$

Hence, the solution of the equation is x = 0 and y = 8.

To know more about the System of equation click the link given below.

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