Question

On his last test Julie stated that the point (-3 ,4) was a solution to the system of equations below explain whether she was correct by using complete sentences and work to support your claim -3x+4y=25 and y= -3x+4

Answer 1

Answer:

(-3/5, 29/5)

Step-by-step explanation:

Given the simultaneous equation;

-3x+4y=25...... 1

y= -3x+4 ..... 2

We are to confirm if (-3, 4) is the solution to the equations;

Substitute equation 2 into 1;

From 1;

-3x+4y=25

-3x + 4(-3x+4) = 25

-3x -12x + 16 = 25

-15x = 25 - 16

-15x = 9

x = -9/15

x = -3/5

Substitute x = -3/5 into equation 2 to get y;

From 2;

y= -3x+4

y = -3(-3/5)+4

y = 9/5 + 4

Find the LCM

y = (9+20)/5

y = 29/5

Hence the solution to the system of equation is (-3/5, 29/5) hereby falsifying Julie's solution.