Question

writing a system of equations from tables
complete the statements about the system of linear equations represented by the tables.
the equation representing the left table is
y = 1.5x - 6
the equation representing the right table is
y = -4x + 6.1
the solution to the system of equations is
(-6, 3)
(2.2, -2.7)
(4, -9.9)
(5, 1.5)

Explanation:

Step1: Confirm left table equation

Given: $y = 1.5x - 6$

Step2: Confirm right table equation

Given: $y = -4x + 6.1$

Step3: Set equations equal

$1.5x - 6 = -4x + 6.1$

Step4: Solve for x

$1.5x + 4x = 6.1 + 6$
$5.5x = 12.1$
$x = \frac{12.1}{5.5} = 2.2$

Step5: Find y with x=2.2

$y = 1.5(2.2) - 6 = 3.3 - 6 = -2.7$

Answer:

(2.2, -2.7)