Question

Billy graphed the system of linear equations to find an approximate solution. y =-7/4 x +5/2 y =3/4 x – 3

Answer 1

To find the approximate solution to the system of linear equations, set the equations equal to each other, combine like terms, simplify, solve for x, substitute the value of x back into either equation to find y, and simplify further. The approximate solution is x = 3/2 and y = -1/8.

Step-by-step explanation:

Given the system of linear equations:

y = -7/4 x + 5/2

y = 3/4 x - 3

Set the two equations equal to each other:

-7/4 x + 5/2 = 3/4 x - 3

Combine like terms:

2x + 5 - 14 = 6 - 12

Simplify:

2x - 9 = -6

Add 9 to both sides:

2x = 3

Divide both sides by 2:

x = 3/2

Substitute the value of x back into either equation to find the value of y:

y = -7/4 * (3/2) + 5/2

Simplify:

y = -21/8 + 20/8

Add the fractions:

y = -1/8

Therefore, the approximate solution to the system of linear equations is x = 3/2 and y = -1/8.

Answer 2

`(2.2,-1.35)`

Step-by-step explanation:

we have

`y=-(7)/(4)x+(5)/(2)` ------> equation A

`y=(3)/(4)x-3` ------> equation B

Remember that

The solution of the system of equation is the intersection point both graphs

Using a graphing tool

see the attached figure

The intersection point is
`(2.2,-1.35)`