Question

Determine the solution.
2x+y=4
4x-3y=7

Answer 1

The answer is: (x , y) = (19/10 , 1/5)

Explanation:

Solve the equation for y-

y = 4 - 2x

4x - 3y = 7

Substitute the given value of y into the equation-

4 x - 3 ( 4 - 2x ) = 7

Solve the equation for x-

x = 19/10

Substitute the given value of x into the equation y = 4 - 2x-

y= 4 - 2 * 19/10

Solve the equation for y-

y = 1/5

The possible solution of the system is the ordered pair ( x , y )-

( x , y ) = ( 19/10 , 1/5)

Check if the given ordered pair is the solution of the system of equations-

{2 * 19/10 + 1/5 =4

4 * 19/10 - 3*1/5 =7}

Simplify the equalities-

4 = 4

7 = 7

Since all equalities are proven true the ordered pair is the solution of the system-

( x , y) = (19/10, 1/5)

FINALLY haha the solution is: ( x , y ) = (19/10 , 1/5)

Hope this helps you!! :) <333