Drag the titles to the correct boxes to complete the pairs. Not all tiles will be used. Match each linear model to its inverse. Y=-4/3x+2

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Ответ:

stephstewart1209

11.10.2021

Mathematics

The solution is the point (-5,-3)

Step-by-step explanation:

The complete question is

Consider the linear system of equations y = 2/5x - 1 and 2x -3y + 1 = 0

The solution of the system of equations is?

we have

$y=\frac{2}{5}x-1$ ----> equation A

2x-3y+1=0 ----> equation B

Solve by substitution

substitute the equation A in equation B

$2x-3(\frac{2}{5}x-1)+1=0$

solve for x

$2x-\frac{6}{5}x+3+1=0$

$2x-\frac{6}{5}x+4=0$

Multiply by 5 both sides to remove the fraction

10x-6x+20=0

4x+20=0

subtract 20 both sides

4x=-20

divide by 4 both sides

x=-5

Find the value of y

$y=\frac{2}{5}(-5)-1$

y=-3

The solution is the point (-5,-3)

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