Question

Shannon graphed the system of equations.

7x – 4y= –8
y = 3/4x – 3

What is the closest approximate solution to the system of equations?

A (–5, –7.2)
B (–5, –6.8)
C (–5, –6.2)
D (–5, –5.9)

Answer 1

Hello,

7x-4y=-8 (1)
y=3/4x-3==>3x-4y=12 (2)
(1)-(2)==>4x=-20 ==>x=-5

if x=-5 then (1)==>4y=-35+8==>y=-6.75

Answer B

Answer 2

The closest approximate solution to the system of equations is (-5, -6.8)

How to determine the approximate solution?

The equations are given as:

7x – 4y= –8

y = 3/4x – 3

Substitute y = 3/4x – 3 in 7x – 4y= –8

7x – 4(3/4x – 3) = –8

Expand

7x – 3x + 12 = –8

Collect like terms

7x – 3x = –8 - 12

Evaluate

4x = -20

Divide by 4

x = -5

Substitute x = -5 in y = 3/4x – 3

y = 3/4 * -5 – 3

Evaluate

y = -6.75

Approximate

y = -6.8

Hence, the closest approximate solution to the system of equations is (-5, -6.8)

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