Question

Antonio graphs these equations and finds that the lines intersect at a single point, (–5, 0.25). Equation A: Equation B: 4y – 3x = 16 –x – 8y = 3 Which statement is true about the values x = –5 and y = 0.25?

Answer 1

Given equations : Equation A:  4y -3x =16 and

Equation B: -x-8y =3.

We are given a point (-5,0.25) plugging it in first equation

4(0.25) -3(-5) =16

1+15 =16.

16 =16 : Satisfies first equation.

Plugging (-5,0.25) it in second equation.

-(-5)-8(0.25) =3.

5 - 2 = 3.

3=3 : Satisfies first equation.

Therefore, they are the only values that make both equations true.