Question

What is the solution to the system of linear equations? {2x+4y=38
10x+3y=105 Enter your answer in the boxes.

Answer 1

$2x+4y=38\\10x+3y=105\\\\-5(2x+4y = 38) => -10x-20y=-190\\\\-10x-20y=-190\\10x+3y=105\\\\-20y+3y=-190+105\\\\-17y=-85\\y=5\\\\2x + 4(5) = 38\\2x = 18\\x=9$

x= 9

y= 5

Answer 2

The solution to the system of linear equations 2x+4y=38 and 10x+3y=105 are 5 and 9.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

The given system of equation are

$2x+4y=38\\10x+3y=105\\\\-5(2x+4y=38)\\= -10 - 20y = -190$

$-10x - 20y = -190\\\\10x+3y=105$

By solving the above equation

- 20y +3y = 105 -190

y= 5

Substitute the value of y in an equation

2x+4(5) =38

x= 9

Learn more about linear equations;

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